Matrix Powers of Column-Justified Pascal Triangles and Fibonacci Sequences

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dc.creatorPeele, Rhodes
dc.creatorStanica, Pantelimon
dc.date2000-10-18
dc.date.accessioned2026-07-07T04:38:07Z
dc.date.available2026-07-07T04:38:07Z
dc.descriptionIf L, respectively R are matrices with entries binom{i-1,j-1}, respectively binom{i-1,n-j}, it is known that L^2 = I (mod 2), respectively R^3 = I (mod 2), where I is the identity matrix of dimension n > 1 (see P10735-May 1999 issue of the American Mathematical Monthly). We generalize it for any prime p, and give a beautiful connection to Fibonacci numbers.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0010186
dc.identifierhttp://arxiv.org/abs/math/0010186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60161
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject05A10; 11B39; 11B65; 11C20; 15A33
dc.titleMatrix Powers of Column-Justified Pascal Triangles and Fibonacci Sequences
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