A063157 Dimension of the space of weight 2n cusp forms for Gamma_0( 89 ).

7, 22, 36, 52, 66, 82, 96, 112, 126, 142, 156, 172, 186, 202, 216, 232, 246, 262, 276, 292, 306, 322, 336, 352, 366, 382, 396, 412, 426, 442, 456, 472, 486, 502, 516, 532, 546, 562, 576, 592, 606, 622, 636, 652, 666, 682, 696, 712, 726, 742

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) = ((-1)^n+30*n-17)/2 for n>1. a(n) = a(n-1)+a(n-2)-a(n-3) for n>4. G.f.: x*(7+15*x+7*x^2+x^3)/((1-x)^2*(1+x)). [Colin Barker, Sep 26 2012]

Crossrefs

Sequence in context: A229978 A316840 A063240 * A003341 A345823 A161447

Adjacent sequences: A063154 A063155 A063156 * A063158 A063159 A063160

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved