A063109 Dimension of the space of weight 2n cusp forms for Gamma_0( 41 ).

3, 10, 16, 24, 30, 38, 44, 52, 58, 66, 72, 80, 86, 94, 100, 108, 114, 122, 128, 136, 142, 150, 156, 164, 170, 178, 184, 192, 198, 206, 212, 220, 226, 234, 240, 248, 254, 262, 268, 276, 282, 290, 296, 304, 310, 318, 324, 332, 338, 346

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 09 2019: (Start)

G.f.: x*(3 + 7*x + 3*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 + 14*n - 9) / 2 for n>1.

(End)

Crossrefs

Sequence in context: A358792 A278041 A063209 * A083684 A141497 A366395

Adjacent sequences: A063106 A063107 A063108 * A063110 A063111 A063112

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved