A063148 Dimension of the space of weight 2n cusp forms for Gamma_0( 80 ).

7, 30, 54, 78, 102, 126, 150, 174, 198, 222, 246, 270, 294, 318, 342, 366, 390, 414, 438, 462, 486, 510, 534, 558, 582, 606, 630, 654, 678, 702, 726, 750, 774, 798, 822, 846, 870, 894, 918, 942, 966, 990, 1014, 1038, 1062, 1086, 1110, 1134

Offset: 1

Author

N. J. A. Sloane, Jul 08 2001

Keywords

• nonn

Links

• William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).
• William A. Stein, The modular forms database

Formula

Conjecture: a(n) = A063128(n). - R. J. Mathar, Jul 21 2015

Conjectures from Colin Barker, Jun 08 2019: (Start)

G.f.: x*(7 + 16*x + x^2) / (1 - x)^2.

a(n) = 2*a(n-1) - a(n-2) for n>3.

a(n) = 6*(4*n-3) for n>1.

(End)