A063313 Dimension of the space of weight n cuspidal newforms for Gamma_1( 40 ).

-1, 19, 44, 67, 94, 117, 144, 165, 194, 215, 244, 263, 294, 313, 344, 361, 394, 411, 444, 459, 494, 509, 544, 557, 594, 607, 644, 655, 694, 705, 744, 753, 794, 803, 844, 851, 894, 901, 944, 949, 994, 999, 1044, 1047, 1094, 1097, 1144, 1145

Offset

2,2

Links

Table of n, a(n) for n=2..49.

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

William A. Stein, The modular forms database

Formula

From Colin Barker, Feb 24 2015: (Start)

a(n) = a(n-2)+a(n-4)-a(n-6) for n>8.

G.f.: x^2*(5*x^6+31*x^5+51*x^4+48*x^3+45*x^2+19*x-1) / ((x-1)^2*(x+1)^2*(x^2+1)).

(End)

Crossrefs

Sequence in context: A140619 A229765 A058829 * A044096 A044477 A140680

Adjacent sequences: A063310 A063311 A063312 * A063314 A063315 A063316

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved