A063341 Dimension of the space of weight n cuspidal newforms for Gamma_1( 68 ).

-1, 68, 152, 236, 318, 402, 484, 572, 650, 738, 816, 906, 982, 1074, 1148, 1242, 1314, 1408, 1480, 1578, 1646, 1744, 1812, 1912, 1978, 2080, 2144, 2248, 2310, 2414, 2476, 2584, 2642, 2750, 2808, 2918, 2974, 3086, 3140, 3254, 3306, 3420

Offset

2,2

Links

Table of n, a(n) for n=2..43.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1, 0, 1, 0, 0, 0, -1).

Formula

From Colin Barker, Feb 25 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -68*x -152*x^2 -236*x^3 -319*x^4 -334*x^5 -333*x^6 -268*x^7 -180*x^8 -100*x^9 -13*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)). (End)

Crossrefs

Sequence in context: A234876 A044319 A044700 * A118214 A211687 A256023

Adjacent sequences: A063338 A063339 A063340 * A063342 A063343 A063344

Keyword

sign,changed

Author

N. J. A. Sloane, Jul 14 2001

Status

approved