A066403 From expansion of Belyi function for cube.

0, 1, 46, 1347, 32220, 686661, 13579914, 254863751, 4601440184, 80635542921, 1379999420134, 23167187812555, 382770785757588, 6239740764495309, 100556187294037314, 1604514927998181135, 25381661274646261616, 398462715169752739601, 6213273419843077690782

Offset

0,3

Links

Colin Barker, Table of n, a(n) for n = 0..850

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 (42,-591,2828,-591,42,-1).

Formula

The Belyi function is -108*(z^4+1)^4*z^4/(z^8-14*z^4+1)^3.

G.f.: x*(1+x)^4 / (1-14*x+x^2)^3. - Colin Barker, Jan 12 2016

Mathematica

LinearRecurrence[{42, -591, 2828, -591, 42, -1}, {0, 1, 46, 1347, 32220, 686661}, 30] (* Harvey P. Dale, Jul 03 2017 *)

Prog

(PARI) concat(0, Vec(x*(1+x)^4/(1-14*x+x^2)^3 + O(x^20))) \\ Colin Barker, Jan 12 2016

Crossrefs

Cf. A066405, A066402, A066404.

Sequence in context: A060561 A281321 A188412 * A286788 A028574 A302767

Adjacent sequences: A066400 A066401 A066402 * A066404 A066405 A066406

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 25 2001

Extensions

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

Status

approved