A063142 Dimension of the space of weight 2n cusp forms for Gamma_0( 74 ).

8, 27, 45, 65, 83, 103, 121, 141, 159, 179, 197, 217, 235, 255, 273, 293, 311, 331, 349, 369, 387, 407, 425, 445, 463, 483, 501, 521, 539, 559, 577, 597, 615, 635, 653, 673, 691, 711, 729, 749, 767, 787, 805, 825, 843, 863, 881, 901, 919

Offset

1,1

Links

Table of n, a(n) for n=1..49.

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*(8 + 19*x + 10*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 + 38*n -23) / 2 for n>1.

(End)

Crossrefs

Sequence in context: A086213 A175050 A131548 * A235994 A144619 A032553

Adjacent sequences: A063139 A063140 A063141 * A063143 A063144 A063145

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved