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Search: id:A124312
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| A124312 |
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G.f.: (x^3 + x^2 + x + 1)/(1 - x - x^2 - x^3 - x^4 - x^5). |
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+0
2
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| 0, 0, 1, 0, 1, 2, 4, 8, 15, 30, 59, 116, 228, 448, 881, 1732, 3405, 6694, 13160, 25872, 50863, 99994, 196583, 386472, 759784, 1493696, 2936529, 5773064, 11349545, 22312618, 43865452, 86237208, 169537887, 333302710, 655255875, 1288199132
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OFFSET
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1,6
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COMMENT
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Second 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 bottom to top gives 5 numbers starting from position n.
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MATHEMATICA
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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, 3]]; Array[f, 50]
CoefficientList[Series[(x^3 + x^2 + x + 1)/(1 - x - x^2 - x^3 - x^4 - x^5), { x, 0, 50}], x]
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CROSSREFS
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Cf. A001591, A124311, A124313, A124314.
Adjacent sequences: A124309 A124310 A124311 this_sequence A124313 A124314 A124315
Sequence in context: A079967 A018088 A018089 this_sequence A068030 A052325 A092603
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 25 2006
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EXTENSIONS
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Edited by njas, Oct 29 2006, Jul 14 2007
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