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A113253
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Corresponds to m = 7 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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7
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-1, 4, 131, 1681, -8341, 68644, 369431, 923521, -10266601, 278289124, -45142549, 385690321, 28351798019, 545917055044, -2216460177409, 15348835582081, 113677067503919, 421612384372804, -3999798649362349, 75132454060794001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Conjecture: a(m, 2*n+1) is a perfect square for all m,n (see A113249),
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FORMULA
| G.f. (-1+147*x^2+2401*x^3)/((7*x+1)*(1-7*x)*(49*x^2+4*x+1))
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CROSSREFS
| Cf. A000302, A097948, A056450, A113249, A113250, A113251, A113252, A113254, A113255, A113256.
Sequence in context: A096759 A006103 A003371 * A201977 A194536 A064227
Adjacent sequences: A113250 A113251 A113252 * A113254 A113255 A113256
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KEYWORD
| easy,sign
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AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Nov 18 2005
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