A063126 Dimension of the space of weight 2n cusp forms for Gamma_0( 58 ).

6, 21, 35, 51, 65, 81, 95, 111, 125, 141, 155, 171, 185, 201, 215, 231, 245, 261, 275, 291, 305, 321, 335, 351, 365, 381, 395, 411, 425, 441, 455, 471, 485, 501, 515, 531, 545, 561, 575, 591, 605, 621, 635, 651, 665, 681, 695, 711, 725, 741

Offset

1,1

Links

Table of n, a(n) for n=1..50.

William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).

William A. Stein, The modular forms database

Formula

Conjecture: a(n) = (-19+(-1)^n+30*n)/2 for n>1. a(n) = a(n-1)+a(n-2)-a(n-3) for n>4. g.f.: x*(x+2)*(x^2+6*x+3) / ((x-1)^2*(x+1)). [Colin Barker, Feb 07 2013]

Crossrefs

Sequence in context: A064440 A106634 A261077 * A256866 A115702 A003340

Adjacent sequences: A063123 A063124 A063125 * A063127 A063128 A063129

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved