A063122 Dimension of the space of weight 2n cusp forms for Gamma_0( 54 ).

4, 21, 39, 57, 75, 93, 111, 129, 147, 165, 183, 201, 219, 237, 255, 273, 291, 309, 327, 345, 363, 381, 399, 417, 435, 453, 471, 489, 507, 525, 543, 561, 579, 597, 615, 633, 651, 669, 687, 705, 723, 741, 759, 777, 795, 813, 831, 849, 867, 885

Offset

1,1

Comments

a(n) appears to be 18n-15, for n>1. - Ralf Stephan, Nov 13 2001.

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*(4 + 13*x + x^2) / (1 - x)^2.

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

(End)

Crossrefs

See A298035 for a very similar sequence.

Sequence in context: A280091 A086474 A085703 * A110737 A273417 A273443

Adjacent sequences: A063119 A063120 A063121 * A063123 A063124 A063125

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved