Circulant determinant sequences with binomial coefficients
In this note we introduce the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of the given sequences as well as the sum of the first n terms.
Saved in:
| Published in | Scientia magna Vol. 9; no. 1; p. 31 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Gallup
Neutrosophic Sets and Systems
01.03.2013
Science Seeking - distributor |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1556-6706 |
Cover
| Abstract | In this note we introduce the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of the given sequences as well as the sum of the first n terms. |
|---|---|
| AbstractList | In this article, the authors have introduced the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of the given sequences as well as the sum of the first n terms. I In this note we introduce the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of the given sequences as well as the sum of the first n terms. In this note we introduce the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of the given sequences as well as the sum of the first n terms. Keywords Circulant matrices with binomial coefficients, determinant sequence, eigenvalues, sum of the first n terms of a sequence. Mathematics Subject Classification: llB25, llB83, 15B36. |
| Audience | Professional Academic |
| Author | Rabago, Julius Fergy T |
| Author_xml | – sequence: 1 fullname: Rabago, Julius Fergy T |
| BookMark | eNptkE1LxDAQhnNYwd3V_1Dw4qWSNMm08bYsfsGCFz2XJJ2sWdpEmxb_vlkURFnmMMPwzMvDrMgixIALsmRSQgk1hXOySulAqYBGyCW53frRzr0OU9HhhOPgw3FO-DFjsJiKTz-9FcaHOHjdFzaic956DFO6IGdO9wkvf_qavN7fvWwfy93zw9N2syv3DABKtMZxKQ11lYKmslBx2hlqEEByikIZB4Ypba1yTndd0wBFVTnLJNdcCr4m19-572PMVmlqB58s9lka45xaBjWTikIDGb36hx7iPIZs1zIhKK0VZ_Uvtdc9tj64OI3aHkPbDRc1pRVQlanyBLXHgKPu81Odz-s__M0JPleHg7cnDr4AQeJ9cA |
| ContentType | Journal Article |
| Copyright | COPYRIGHT 2013 Neutrosophic Sets and Systems Copyright Science Seeking - distributor 2013 |
| Copyright_xml | – notice: COPYRIGHT 2013 Neutrosophic Sets and Systems – notice: Copyright Science Seeking - distributor 2013 |
| DBID | 3V. 4T- 4U- 7SC 7X2 7XB 88I 8AL 8FD 8FE 8FG 8FH 8FK ABJCF ABUWG AEUYN AFKRA ARAPS ATCPS AZQEC BBNVY BENPR BGLVJ BHPHI BKSAR CCPQU D1I DWQXO GNUQQ HCIFZ JQ2 K7- KB. L6V L7M LK8 L~C L~D M0K M0N M2P M7P M7S P5Z P62 PATMY PCBAR PDBOC PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS PYCSY Q9U |
| DatabaseName | ProQuest Central (Corporate) Docstoc University Readers Computer and Information Systems Abstracts ProQuest Agricultural Science ProQuest Central (purchase pre-March 2016) Science Database (Alumni Edition) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Natural Science Journals ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest One Sustainability ProQuest Central Advanced Technologies & Computer Science Collection Agricultural & Environmental Science Collection ProQuest Central Essentials - QC Biological Science Collection ProQuest Central Technology Collection Natural Science Collection Earth, Atmospheric & Aquatic Science Collection ProQuest One ProQuest Materials Science Collection ProQuest Central ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Materials Science Database (Proquest) ProQuest Engineering Collection Advanced Technologies Database with Aerospace Biological Sciences Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Agricultural Science Database Computing Database Science Database ProQuest Central Biological Science Database (via ProQuest) Engineering Database (Proquest) ProQuest Central Advanced Technologies & Aerospace Database (via ProQuest) ProQuest Advanced Technologies & Aerospace Collection Environmental Science Database Earth, Atmospheric & Aquatic Science Database Materials Science Collection Proquest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection Environmental Science Collection ProQuest Central Basic |
| DatabaseTitle | Agricultural Science Database Publicly Available Content Database Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ProQuest Central China ProQuest One Applied & Life Sciences ProQuest One Sustainability Natural Science Collection Biological Science Collection ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest Biological Science Collection ProQuest One Academic Eastern Edition Earth, Atmospheric & Aquatic Science Database Agricultural Science Collection ProQuest Technology Collection Biological Science Database Environmental Science Collection ProQuest One Academic UKI Edition Docstoc Environmental Science Database ProQuest One Academic ProQuest One Academic (New) University Readers Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Materials Science Collection ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest Natural Science Collection ProQuest Central Earth, Atmospheric & Aquatic Science Collection ProQuest Engineering Collection ProQuest Central Korea Agricultural & Environmental Science Collection Materials Science Database Advanced Technologies Database with Aerospace ProQuest Materials Science Collection ProQuest Computing ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest Central (Alumni) |
| DatabaseTitleList | Agricultural Science Database Computer and Information Systems Abstracts |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EndPage | 31 |
| ExternalDocumentID | 3092533731 A347002609 |
| Genre | Feature |
| GeographicLocations | Russia |
| GeographicLocations_xml | – name: Russia |
| GroupedDBID | 123 1XV 2WC 7X2 7XC 88I 8CJ 8FE 8FG 8FH 8R4 8R5 ABDBF ABJCF ABUWG ACGOD ACIPV ACIWK ACPRK ACUHS ADBBV AEUYN AFKRA AFRAH ALMA_UNASSIGNED_HOLDINGS APEBS ARAPS ATCPS AZQEC BBNVY BCNDV BENPR BGLVJ BHPHI BKSAR BPHCQ CCPQU D1I D1J D1K DWQXO E3Z ESX GNUQQ HCIFZ I-F IAO IEA IOF ITC J9A K6- K6V K7- KB. KQ8 L6V LK5 LK8 M0K M2P M7P M7R M7S OK1 OVT P2P P62 PATMY PCBAR PDBOC PHGZM PHGZT PIMPY PQGLB PQQKQ PROAC PTHSS PYCSY Q2X RNS TR2 TUS 3V. 4T- 4U- 7SC 7XB 8AL 8FD 8FK JQ2 L7M L~C L~D M0N PKEHL PQEST PQUKI PRINS Q9U PUEGO |
| ID | FETCH-LOGICAL-g1666-ecbf355b0f29682c6230db0be66530e49bf6b19acc9ffadd8860e92fc153a3543 |
| IEDL.DBID | BENPR |
| ISSN | 1556-6706 |
| IngestDate | Thu Sep 04 16:03:46 EDT 2025 Fri Jul 25 10:33:05 EDT 2025 Mon Oct 20 22:35:14 EDT 2025 Thu Jun 12 23:50:24 EDT 2025 Mon Oct 20 16:20:23 EDT 2025 |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-g1666-ecbf355b0f29682c6230db0be66530e49bf6b19acc9ffadd8860e92fc153a3543 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23 |
| OpenAccessLink | https://www.proquest.com/docview/1440079317?pq-origsite=%requestingapplication%&accountid=15518 |
| PQID | 1440079317 |
| PQPubID | 51774 |
| PageCount | 1 |
| ParticipantIDs | proquest_miscellaneous_1671590686 proquest_journals_1440079317 gale_infotracmisc_A347002609 gale_infotracgeneralonefile_A347002609 gale_infotracacademiconefile_A347002609 |
| PublicationCentury | 2000 |
| PublicationDate | 20130301 |
| PublicationDateYYYYMMDD | 2013-03-01 |
| PublicationDate_xml | – month: 03 year: 2013 text: 20130301 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Gallup |
| PublicationPlace_xml | – name: Gallup |
| PublicationTitle | Scientia magna |
| PublicationYear | 2013 |
| Publisher | Neutrosophic Sets and Systems Science Seeking - distributor |
| Publisher_xml | – name: Neutrosophic Sets and Systems – name: Science Seeking - distributor |
| SSID | ssj0046845 |
| Score | 1.829276 |
| Snippet | In this note we introduce the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of the given... In this article, the authors have introduced the concept of circulant determinant sequences with binomial coefficients and derive formulas for the n-th term of... |
| SourceID | proquest gale |
| SourceType | Aggregation Database |
| StartPage | 31 |
| SubjectTerms | Analysis Binomial coefficients Determinants Eigenvalues Mathematics |
| Title | Circulant determinant sequences with binomial coefficients |
| URI | https://www.proquest.com/docview/1440079317 https://www.proquest.com/docview/1671590686 |
| Volume | 9 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAFT databaseName: Open Access Digital Library issn: 1556-6706 databaseCode: KQ8 dateStart: 20050101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: http://grweb.coalliance.org/oadl/oadl.html omitProxy: true ssIdentifier: ssj0046845 providerName: Colorado Alliance of Research Libraries – providerCode: PRVEBS databaseName: EBSCOhost Academic Search Ultimate issn: 1556-6706 databaseCode: ABDBF dateStart: 20090301 customDbUrl: https://search.ebscohost.com/login.aspx?authtype=ip,shib&custid=s3936755&profile=ehost&defaultdb=asn isFulltext: true dateEnd: 99991231 titleUrlDefault: https://search.ebscohost.com/direct.asp?db=asn omitProxy: true ssIdentifier: ssj0046845 providerName: EBSCOhost – providerCode: PRVPQU databaseName: ProQuest Central issn: 1556-6706 databaseCode: BENPR dateStart: 20050101 customDbUrl: http://www.proquest.com/pqcentral?accountid=15518 isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.proquest.com/central omitProxy: true ssIdentifier: ssj0046845 providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Technology Collection issn: 1556-6706 databaseCode: 8FG dateStart: 20050101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://search.proquest.com/technologycollection1 omitProxy: true ssIdentifier: ssj0046845 providerName: ProQuest |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1bS8MwFD7M7UUfxCtO56gg-hTsJU0bQWSOzSE4RBT2NnIdPtjqLv_fnK7dGAyfc1JocvrlNPnyfQDXiuKixzjhUmpCYxMTEQhGIgd9saDWWo37kK9DNvikL6N4VINhdRcGaZUVJhZArXOFe-R3eAiJYm5B8vjzS9A1Ck9XKwsNUVor6IdCYmwHGiEqY9Wh8dQbvr1X2ExZWtgWuyBGWII2R9uBuFhd-gewX5aFXmc5j4dQM9kR7L2uNFVnx3Df_ZoiaTSbe3rNYfFWXGgPt1Q996Obf7uc8lRuCnUIJEqcwGe_99EdkNL5gEzwGI8YJa0rBKRvQ87SULkaxdfSl4axOPIN5dIyGXD31txah1BpynzDQ6scfokoptEp1LM8M2fgSa7dKk8D4RtLBQ1SbVUSUjd3WsY2jZpwiyMwxnyeT4USJS3f9UZlqHEnokkhPMabcLMROVnqYm8LbG0EuoRVm83VYI_LD2Y2Xk9vE65WzdgTSWCZyRcuhiWu-MI7Lef_P-ICdsPCtQKpYi2oz6cLc-lqh7lsw07af26XafEHIyzH3Q |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LT9wwEB7xOJQeEE91gZYgQTlZ5OE4cSWEKA8tj11VFUjcUj9RDyTt7iLEn-O3MROSRSshbpw9diJ7PDO2v_kGYNtwcnpCMqm1ZTx1KVOREixB05cq7r23dA_Z64vuNT-_SW-m4KnNhSFYZWsTa0NtK0N35Hv0CElkblF28O8_o6pR9LraltBQTWkFu19TjDWJHRfu8QGPcMP9s2Nc7504Pj25OuqypsoAu6UnM-aM9uh0dehjKfLYYDwQWh1qJ0SahI5L7YWOJH5Beo_WIM9F6GTsDdoKlaQ8wXGnYZYnXOLhb_bnSf_X79YXcJHXZZLxpwQTGZVVetvw197sdAHmmzA0OHzRm0WYcuUSfO6NOVyHy_Dj6O-AQKrlKLCvmJlgjL0O6Ao3wIN1dYc6HJjK1WwUBMxYgesPmYNVmCmr0n2BQEuLUQWPVOg8VzzKrTdZzFFXrE59nnRgl2agoP0zGiijmjQA7E1MVMVhwrOa6Ex24PuE5O0LD_dbghsTgrhBzGRzO9lFs0GHxas6dWBr3Ew9CXRWuuoeZUSGwR7l0Ky9P8QmfOpe9S6Ly7P-xTrMxXXFDIKpbcDMaHDvvmLcMtLfGuUI4M9H6-MzLigEcg |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1NbxMxEB2lrYTKoSqUipQCi0ThZGU_vN41EqqqpCEhNOqhkXLb2l674sBuSVJV_DV-HTOb3VSRIm4579gH7_PM2H7zBuCj4RT0hGRS65zx2MZMBUqwCF1frLhzLqd7yKuxGEz492k8bcHfphaGaJWNT6wcdV4auiPv0CMkibkFScfVtIjrXv_8_jejDlL00tq001hCZGT_POLxbf512MN_fRaG_cub7oDVHQbYHT2XMWu0w4CrfRdKkYYGcwE_1762QsSRb7nUTuhAKmOkc-gJ0lT4VobOoJ9QUcwjnHcH9hJScacq9f63JgpwkVYNkjFcCyYSaqi02eVXcax_CAd1AupdLBHzAlq2eAnPr1bqrfMj-NL9OSN6arHw8ie2jLdiXXt0eevhkbr8hej1TGkrHQqiZLyCyVZW4Bh2i7Kwr8HTMsd8ggfKt44rHqS5M0nIESW5jl0ateEzrUBGO2cxU0bVBQA4mjSosouIJ5XEmWzDpzXLu6UC9ybD0zVD3Bpm_XOz2Fm9NefZE5Da8GH1mUYS3ayw5QPaiATTPKqeOfn_FO_hGaIw-zEcj97Afli1yiB-2insLmYP9i0mLAv9rkKGB7fbhuI_IXICDA |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Circulant+determinant+sequences+with+binomial+coefficients&rft.jtitle=Scientia+magna&rft.au=Rabago%2C+Julius+Fergy+T&rft.date=2013-03-01&rft.issn=1556-6706&rft.volume=9&rft.issue=1&rft.spage=31&rft.epage=31&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1556-6706&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1556-6706&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1556-6706&client=summon |