A063117 - OEIS

A063117

Dimension of the space of weight 2n cusp forms for Gamma_0( 49 ).

1, 10, 20, 28, 38, 48, 56, 66, 76, 84, 94, 104, 112, 122, 132, 140, 150, 160, 168, 178, 188, 196, 206, 216, 224, 234, 244, 252, 262, 272, 280, 290, 300, 308, 318, 328, 336, 346, 356, 364, 374, 384, 392, 402, 412, 420, 430, 440, 448, 458

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

OFFSET

1,2

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*(1 + 9*x + 10*x^2 + 7*x^3 + x^4) / ((1 - x)^2*(1 + x + x^2)).

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

(End)

CROSSREFS

Sequence in context: A249989 A175229 A242964 * A157938 A095208 A291625

Adjacent sequences: A063114 A063115 A063116 * A063118 A063119 A063120

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 08 2001

STATUS

approved