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Search: id:A113254
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| A113254 |
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Corresponds to m = 8 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, 176, 3136, -15616, 123904, 1028096, 4734976, -51183616, 975437824, 1521483776, 205520896, 39241908224, 4227925540864, -10627091267584, 53396107165696, 1029499365883904, 10479050187341824, -71775363146973184, 769363745204862976
(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+192*x^2+4096*x^3)/((8*x+1)*(1-8*x)*(64*x^2+4*x+1))
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CROSSREFS
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Cf. A000302, A097948, A056450, A113249, A113250, A113251, A113252, A113253, A113255, A113256.
Adjacent sequences: A113251 A113252 A113253 this_sequence A113255 A113256 A113257
Sequence in context: A057140 A081783 A006433 this_sequence A127606 A041945 A082393
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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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