A066402 From expansion of Belyi function for dodecahedron.

0, 1, 739, 349247, 135081772, 46592981880, 14921201253592, 4536057410542618, 1326832753715385794, 376757242809990931884, 104488934104327921610570, 28428461728083557062643114, 7612584440278089046630434316, 2011372004697171339782546237013

Offset

0,3

Links

Colin Barker, Table of n, a(n) for n = 0..400

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 (684, -157434, 12527460, -77460495, 130689144, 33211924, -130689144, -77460495, -12527460, -157434, -684, -1).

Formula

The Belyi function is 1728*z^5*(z^10-11*z^5-1)^5/(z^20+228*z^15+494*z^10-228*z^5+1)^3.

G.f.: x*(1+11*x-x^2)^5 / (1-228*x+494*x^2+228*x^3+x^4)^3. - Colin Barker, Jan 12 2016

a(n) = 684*a(n-1) - 157434*a(n-2) + 12527460*a(n-3) - 77460495*a(n-4) + 130689144*a(n-5) + 33211924*a(n-6) - 130689144*a(n-7) - 77460495*a(n-8) - 12527460*a(n-9) - 157434*a(n-10) - 684*a(n-11) - a(n-12). - Wesley Ivan Hurt, Jun 12 2026

Prog

(PARI) concat(0, Vec(x*(1+11*x-x^2)^5/(1-228*x+494*x^2+228*x^3+x^4)^3 + O(x^20))) \\ Colin Barker, Jan 12 2016

Crossrefs

Cf. A066405, A066403, A066404.

Sequence in context: A202417 A078906 A066404 * A243778 A256634 A105391

Adjacent sequences: A066399 A066400 A066401 * A066403 A066404 A066405

Keyword

nonn,easy,changed

Author

N. J. A. Sloane, Dec 25 2001

Status

approved