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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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N. Magot and A. Zvonkin, <a href="http://fpsacdx.labridoi.fr/FPSAC97org/articles10.html1016/S0012-365X(99)00266-6">Belyi functions for Archimedian solids</a>, Discrete Math., 217 (2000), 249-271.
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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
Colin Barker, <a href="/A066405/b066405.txt">Table of n, a(n) for n = 0..1000</a>
<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (-4,-6,-4,-1).
From Colin Barker, Jan 12 2016: (Start)
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)
(PARI) Vec((1-14*x+x^2)^3/(1+x)^4 + O(x^30)) \\ Colin Barker, Jan 12 2016
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_N. J. A. Sloane (njas(AT)research.att.com), _, Dec 25 2001
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N. J. A. Sloane (njas, (AT)research.att.com), Dec 25 2001
N. Magot and A. Zvonkin, <a href="http://schutzenberger.liafafpsac.jussieulabri.fr/FPSAC/FPSAC97
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