A063125 - OEIS

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A063125

Dimension of the space of weight 2n cusp forms for Gamma_0( 57 ).

5, 18, 32, 44, 58, 72, 84, 98, 112, 124, 138, 152, 164, 178, 192, 204, 218, 232, 244, 258, 272, 284, 298, 312, 324, 338, 352, 364, 378, 392, 404, 418, 432, 444, 458, 472, 484, 498, 512, 524, 538, 552, 564, 578, 592, 604, 618, 632, 644, 658

(list; graph; refs; listen; history; text; internal format)

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*(1 + x)*(5 + 8*x + 6*x^2 + x^3) / ((1 - x)^2*(1 + x + x^2)).

a(n) = a(n-1) + a(n-3) - a(n-4) for n>5.

(End)