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Search: id:A113255
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| A113255 |
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Corresponds to m = 9 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, 227, 5329, -26581, 206116, 2391479, 16785409, -174757993, 2826198244, 9824173259, 14210785681, -287742103741, 22876687229764, -22446053606113, 89792737665409, 5164999769137199, 122161424469552196, -606821408584323661, 4689875711360495569
(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+243*x^2+6561*x^3)/((9*x+1)*(1-9*x)*(81*x^2+4*x+1))
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CROSSREFS
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Cf. A000302, A097948, A056450, A113249, A113250, A113251, A113252, A113253, A113254, A113256.
Sequence in context: A052209 A042539 A159281 this_sequence A145767 A024057 A132551
Adjacent sequences: A113252 A113253 A113254 this_sequence A113256 A113257 A113258
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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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