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A157461
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Expansion of x*(x+1)/(x^2-26*x+1).
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3
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1, 27, 701, 18199, 472473, 12266099, 318446101, 8267332527, 214632199601, 5572169857099, 144661784084973, 3755634216352199, 97501827841072201, 2531291889651525027, 65716087303098578501, 1706086977990911515999, 44292545340460600837473
(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.
A157461 is the b(n) sequence for A=6.
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FORMULA
| G.f.: x*(x+1)/(x^2-26*x+1).
b(1) = 1, b(2) = 27, b(n) = 26*b(n-1)-b(n-2) for n>2.
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CROSSREFS
| 6*A157874(n)+1 = A153111(n)^2.
7*A157874(n)+1 = A157461(n)^2.
Sequence in context: A113364 A095898 A014914 * A162827 A163179 A163527
Adjacent sequences: A157458 A157459 A157460 * A157462 A157463 A157464
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KEYWORD
| nonn
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AUTHOR
| Paul Weisenhorn (paulweisenhorn(AT)online.de), Mar 01 2009
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EXTENSIONS
| Edited by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2011
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