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A124313
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Fourth column of the n-th power of pentanacci matrix {{1,1,1,1,1},{1,0,0,0,0},{0,1,0,0,0},{0,0,1,0,0},{0,0,0,1,0}} read from down to up is 5 following numbers starting from the position n.
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1
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1, 0, 0, 0, 1, 2, 3, 6, 12, 24, 47, 92, 181, 356, 700, 1376, 2705, 5318, 10455, 20554, 40408, 79440, 156175, 307032, 603609, 1186664, 2332920, 4586400, 9016625, 17726218, 34848827, 68510990, 134689060, 264791720, 520566815, 1023407412
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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FORMULA
| G.f.: x*(-1+x+x^2+x^3)/(-1+x+x^2+x^3+x^4+x^5) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009]
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MATHEMATICA
| f[n_] := MatrixPower[{{1, 1, 1, 1, 1}, {1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}}, n][[ 1, 4]]; Array[f, 50]
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CROSSREFS
| Cf. A001591, A124312, A124314.
Sequence in context: A023675 A029996 A038085 * A049890 A042950 A098011
Adjacent sequences: A124310 A124311 A124312 * A124314 A124315 A124316
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KEYWORD
| nonn,uned
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Oct 25 2006
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EXTENSIONS
| G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.
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