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A157874
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Expansion of 104*x^2/(-x^3+675*x^2-675*x+1).
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3
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0, 104, 70200, 47314800, 31890105104, 21493883525400, 14486845606014600, 9764112444570315104, 6580997300794786365600, 4435582416623241440099400, 2989575967806763935840630104, 2014969766719342269515144590800, 1358086633192868882889271613569200
(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.
A157874 is the c(n) sequence for A=6.
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FORMULA
| G.f.: 104*x^2/(-x^3+675*x^2-675*x+1).
c(1) = 0, c(2) = 104, c(3) = 675*c(2), c(n) = 675 * (c(n-1)-c(n-2)) + c(n-3) for n>3.
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CROSSREFS
| 6*A157874(n)+1 = A153111(n)^2.
7*A157874(n)+1 = A157461(n)^2.
Sequence in context: A015272 A048920 A091539 * A069172 A104437 A112814
Adjacent sequences: A157871 A157872 A157873 * A157875 A157876 A157877
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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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