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Search: id:A145137
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| A145137 |
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Expansion of x/((1 - x - x^4)*(1 - x)^8). |
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+0
5
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| 0, 1, 9, 45, 165, 496, 1297, 3058, 6655, 13586, 26323, 48829, 87308, 151282, 255125, 420234, 678086, 1074525, 1675754, 2576688, 3912574, 5875129, 8734923, 12872391, 18820765, 27325469, 39426248, 56570687, 80771068, 114821057, 162594985
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OFFSET
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0,3
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COMMENT
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The coefficients of the recursion for a(n) are given by the 9th row of A145152.
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FORMULA
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a(n) = [9, -36, 84, -125, 118, -56, -20, 61, -55, 28, -8, 1] * [a(n-1), ..., a(n-12)].
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MAPLE
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col:= proc(k) local l, j, M, n; l:= `if` (k=0, [1, 0, 0, 1], [seq (coeff ( -(1-x-x^4) *(1-x)^(k-1), x, j), j=1..k+3)]); M:= Matrix (nops(l), (i, j)-> if i=j-1 then 1 elif j=1 then l[i] else 0 fi); `if` (k=0, n->(M^n)[2, 3], n->(M^n)[1, 2]) end: a:= col(9): seq (a(n), n=0..40);
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CROSSREFS
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9th column of A145153. Cf. A145152.
Sequence in context: A023034 A000581 A145458 this_sequence A144902 A128643 A036826
Adjacent sequences: A145134 A145135 A145136 this_sequence A145138 A145139 A145140
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 03 2008
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