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Search: id:A113256
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| A113256 |
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Corresponds to m = 10 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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8
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| -1, 4, 284, 8464, -42256, 322624, 4935104, 47997184, -485499136, 7142278144, 39980801024, 125848981504, -2501476028416, 97421005963264, 60463578988544, 16045087719424, 13889461750267904, 942837644226985984, -3160296751934734336, 18357422585040338944
(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+300*x^2+10000*x^3)/((10*x+1)*(1-10*x)*(100*x^2+4*x+1))
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CROSSREFS
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Cf. A000302, A097948, A056450, A113249, A113250, A113251, A113252, A113253, A113254, A113255.
Sequence in context: A101758 A134786 A074309 this_sequence A090088 A110816 A112322
Adjacent sequences: A113253 A113254 A113255 this_sequence A113257 A113258 A113259
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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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