A063120 - OEIS

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A063120

Dimension of the space of weight 2n cusp forms for Gamma_0( 52 ).

5, 18, 32, 46, 60, 74, 88, 102, 116, 130, 144, 158, 172, 186, 200, 214, 228, 242, 256, 270, 284, 298, 312, 326, 340, 354, 368, 382, 396, 410, 424, 438, 452, 466, 480, 494, 508, 522, 536, 550, 564, 578, 592, 606, 620, 634, 648, 662, 676, 690

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

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

a(n) = 2*(7*n-5) for n>1.

(End)

CROSSREFS

Sequence in context: A154609 A063125 A031004 * A031051 A294090 A038346

Adjacent sequences: A063117 A063118 A063119 * A063121 A063122 A063123

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 08 2001

STATUS

approved