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Search: id:A113251
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| A113251 |
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Corresponds to m = 5 in a family of 4th order linear recurrence sequences given by a(m,n) = m^4*a(n-4) + (2*m)^2*a(n-3) - 4*a(m-1), a(m,0) = -1, a(m,1) = 4, a(m,2) = -13 + 6*(m-1) + 3*(m-1)^2, a(m,3) = (-8+m^2)^2. |
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+0
8
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| -1, 4, 59, 289, -1381, 13924, 10079, 2209, 520439, 7628644, -23994301, 149401729, 490531859, 406344964, -1681645081, 149155846849, -249406479121, 1083427010884, 9530848465739, 30158362505569, -168169798384501, 2302905921914404, -239007146013841, 2988025311585889
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Conjecture: a(m, 2*n+1) is a perfect square for all m,n (see A113249),
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FORMULA
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G.f. (-1+75*x^2+625*x^3)/((5*x+1)*(1-5*x)*(25*x^2+4*x+1))
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MAPLE
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with(gfun): seriestolist(series((-1+75*x^2+625*x^3)/((5*x+1)*(1-5*x)*(25*x^2+4*x+1)), x=0, 25));
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CROSSREFS
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Cf. A000302, A097948, A056450, A113249, A113250, A113252, A113253, A113254, A113255, A113256.
Sequence in context: A155204 A144992 A037066 this_sequence A093597 A126754 A026586
Adjacent sequences: A113248 A113249 A113250 this_sequence A113252 A113253 A113254
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KEYWORD
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easy,sign
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Nov 18 2005
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