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A157880
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Expansion of 136*x^2/(-x^3+1155*x^2-1155*x+1).
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2
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0, 136, 157080, 181270320, 209185792336, 241400223085560, 278575648254944040, 321476056685982336736, 370983090839975361649440, 428114165353274881361117160, 494043375834588373115367553336, 570125627598949629300252795432720, 657924480205812037624118610561805680
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This sequence is part of a solution of a more general problem involving 2 equations, three sequences a(n), b(n), c(n) and a constant A:
A * c(n)+1 = a(n)^2,
(A+1) * c(n)+1 = b(n)^2, for details see comment in A157014.
A157880 is the c(n) sequence for A=8.
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FORMULA
| G.f.: 136*x^2/(-x^3+1155*x^2-1155*x+1).
c(1) = 0, c(2) = 136, c(3) = 1155*c(2), c(n) = 1155 * (c(n-1)-c(n-2)) + c(n-3) for n>3.
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CROSSREFS
| 8*A157880(n)+1 = A077420(n-1)^2.
9*A157880(n)+1 = A046176(n)^2.
Sequence in context: A071231 A194014 A035819 * A001330 A091510 A134885
Adjacent sequences: A157877 A157878 A157879 * A157881 A157882 A157883
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KEYWORD
| nonn
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AUTHOR
| Paul Weisenhorn (paulweisenhorn(AT)online.de), Mar 08 2009
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EXTENSIONS
| Edited by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2011
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