A063153 Dimension of the space of weight 2n cusp forms for Gamma_0( 85 ).

7, 26, 42, 62, 78, 98, 114, 134, 150, 170, 186, 206, 222, 242, 258, 278, 294, 314, 330, 350, 366, 386, 402, 422, 438, 458, 474, 494, 510, 530, 546, 566, 582, 602, 618, 638, 654, 674, 690, 710, 726, 746, 762, 782, 798, 818, 834, 854, 870, 890

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

Conjectures from Colin Barker, Jun 10 2019: (Start)

G.f.: x*(7 + 19*x + 9*x^2 + x^3) / ((1 - x)^2*(1 + x)).

a(n) = a(n-1) + a(n-2) - a(n-3) for n>4.

a(n) = ((-1)^n + 18*n - 11) for n>1.

(End)

Crossrefs

Sequence in context: A110927 A103267 A125972 * A063578 A063159 A274268

Adjacent sequences: A063150 A063151 A063152 * A063154 A063155 A063156

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved