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A157460
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Expansion of 88*x^2/(1-483*x+483*x^2-x^3).
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2
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0, 88, 42504, 20486928, 9874656880, 4759564129320, 2294100035675448, 1105751457631436704, 532969908478316815968, 256890390135091073859960, 123820635075205419283684840, 59681289215858877003662233008, 28766257581408903510345912625104
(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.
A157460 is the c(n) sequence for A=5.
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FORMULA
| G.f.: 88*x^2/(1-483*x+483*x^2-x^3).
c(1) = 0, c(2) = 88, c(3) = 483*c(2), c(n) = 483*(c(n-1)-c(n-2))+c(n-3) for n>3.
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CROSSREFS
| 5*A157460(n)+1 = A157014(n)^2 for n>=1.
6*A157460(n)+1 = A133283(n)^2 for n>=1.
Sequence in context: A174499 A048919 A159718 * A093244 A079036 A159420
Adjacent sequences: A157457 A157458 A157459 * A157461 A157462 A157463
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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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