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Search: id:A023424
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| A023424 |
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Expansion of (1+2*x+3*x^2+4*x^3+5*x^4)/(1-x-x^2-x^3-x^4-x^5). |
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+0
4
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| 1, 3, 7, 15, 31, 57, 113, 223, 439, 863, 1695, 3333, 6553, 12883, 25327, 49791, 97887, 192441, 378329, 743775, 1462223, 2874655, 5651423, 11110405, 21842481, 42941187, 84420151, 165965647, 326279871
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Traces of successive powers of pentanacci matrix. - Artur Jasinski (grafix(AT)csl.pl), Jan 05 2007
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LINKS
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T. D. Noe, Table of n, a(n) for n = 0..199
Eric Weisstein's World of Mathematics, Lucas n-Step Number
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MATHEMATICA
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m = {{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}} ; Table[Tr[MatrixPower[m, n]], {n, 1, 50}] - Artur Jasinski (grafix(AT)csl.pl), Jan 05 2007
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CROSSREFS
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Essentially the same as A074048.
Sequence in context: A043729 A137170 A151338 this_sequence A006778 A007574 A034480
Adjacent sequences: A023421 A023422 A023423 this_sequence A023425 A023426 A023427
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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