A063133 - OEIS

A063133

Dimension of the space of weight 2n cusp forms for Gamma_0( 65 ).

5, 20, 32, 48, 60, 76, 88, 104, 116, 132, 144, 160, 172, 188, 200, 216, 228, 244, 256, 272, 284, 300, 312, 328, 340, 356, 368, 384, 396, 412, 424, 440, 452, 468, 480, 496, 508, 524, 536, 552, 564, 580, 592, 608, 620, 636, 648, 664, 676, 692

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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 10 2019: (Start)

G.f.: x*(5 + 15*x + 7*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 for n>1.

(End)

CROSSREFS

Sequence in context: A162690 A074219 A178612 * A029528 A101867 A003339

Adjacent sequences: A063130 A063131 A063132 * A063134 A063135 A063136

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 08 2001

STATUS

approved