A063136 - OEIS

A063136

Dimension of the space of weight 2n cusp forms for Gamma_0( 68 ).

7, 24, 42, 60, 78, 96, 114, 132, 150, 168, 186, 204, 222, 240, 258, 276, 294, 312, 330, 348, 366, 384, 402, 420, 438, 456, 474, 492, 510, 528, 546, 564, 582, 600, 618, 636, 654, 672, 690, 708, 726, 744, 762, 780, 798, 816, 834, 852, 870, 888, 906, 924, 942

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..53.

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 + 10*x + x^2) / (1 - x)^2.

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

a(n) = 6*(3*n-2) for n>1.