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A066405
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From expansion of Belyi function for octahedron.
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4
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1, -46, 769, -5632, 18688, -44032, 85760, -147968, 234752, -350208, 498432, -683520, 909568, -1180672, 1500928, -1874432, 2305280, -2797568, 3355392, -3982848, 4684032, -5463040, 6323968, -7270912, 8307968, -9439232, 10668800, -12000768, 13439232, -14988288
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listen;
history;
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internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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The Belyi function is 1/Belyi function for cube.
a(n) = 256*(-1)^n*(8*n^3-24*n^2+25*n-9)/3 for n>2.
a(n) = -4*a(n-1)-6*a(n-2)-4*a(n-3)-a(n-4) for n>6.
G.f.: (1-14*x+x^2)^3 / (1+x)^4.
(End)
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MATHEMATICA
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LinearRecurrence[{-4, -6, -4, -1}, {1, -46, 769, -5632, 18688, -44032, 85760}, 30] (* Harvey P. Dale, Aug 02 2024 *)
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PROG
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(PARI) Vec((1-14*x+x^2)^3/(1+x)^4 + O(x^30)) \\ Colin Barker, Jan 12 2016
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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Corrected by Francisco Salinas (franciscodesalinas(AT)hotmail.com), Dec 25 2001
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STATUS
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approved
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