A066405 From expansion of Belyi function for octahedron.

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

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..1000

N. Magot and A. Zvonkin, Belyi functions for Archimedian solids, Discrete Math., 217 (2000), 249-271.

Index entries for linear recurrences with constant coefficients, signature (-4,-6,-4,-1).

Formula

The Belyi function is 1/Belyi function for cube.

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)

Prog

(PARI) Vec((1-14*x+x^2)^3/(1+x)^4 + O(x^30)) \\ Colin Barker, Jan 12 2016

Crossrefs

Cf. A066402, A066403, A066404.

Sequence in context: A224370 A078156 A341428 * A113922 A160067 A156842

Adjacent sequences: A066402 A066403 A066404 * A066406 A066407 A066408

Keyword

sign,easy

Author

N. J. A. Sloane, Dec 25 2001

Extensions

Corrected by Francisco Salinas (franciscodesalinas(AT)hotmail.com), Dec 25 2001

Status

approved