A063121 - OEIS

A063121

Dimension of the space of weight 2n cusp forms for Gamma_0( 53 ).

4, 13, 21, 31, 39, 49, 57, 67, 75, 85, 93, 103, 111, 121, 129, 139, 147, 157, 165, 175, 183, 193, 201, 211, 219, 229, 237, 247, 255, 265, 273, 283, 291, 301, 309, 319, 327, 337, 345, 355, 363, 373, 381, 391, 399, 409, 417, 427, 435, 445

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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*(4 + 9*x + 4*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) / 2 for n>1.

(End)

CROSSREFS

Sequence in context: A339216 A155095 A063219 * A199798 A153193 A304905

Adjacent sequences: A063118 A063119 A063120 * A063122 A063123 A063124

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 08 2001

STATUS

approved