A063087 Dimension of the space of weight 2n cusp forms for Gamma_0( 19 ).

1, 4, 8, 10, 14, 18, 20, 24, 28, 30, 34, 38, 40, 44, 48, 50, 54, 58, 60, 64, 68, 70, 74, 78, 80, 84, 88, 90, 94, 98, 100, 104, 108, 110, 114, 118, 120, 124, 128, 130, 134, 138, 140, 144, 148, 150, 154, 158, 160, 164

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

Conjecture: a(n) = 4*(n-1)-2*floor((n-1)/3) for n > 1. - Wesley Ivan Hurt, Dec 27 2016

Conjectures from Colin Barker, Jun 09 2019: (Start)

G.f.: x*(1 + 3*x + 4*x^2 + 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: A310988 A161667 A339212 * A310989 A310990 A310991

Adjacent sequences: A063084 A063085 A063086 * A063088 A063089 A063090

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved