A063345 Dimension of the space of weight n cuspidal newforms for Gamma_1( 72 ).

-1, 55, 119, 184, 247, 312, 375, 441, 503, 569, 631, 698, 759, 826, 887, 955, 1015, 1083, 1143, 1212, 1271, 1340, 1399, 1469, 1527, 1597, 1655, 1726, 1783, 1854, 1911, 1983, 2039, 2111, 2167, 2240, 2295, 2368, 2423, 2497, 2551, 2625, 2679

Offset

2,2

Links

Table of n, a(n) for n=2..44.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

Formula

From Colin Barker, Feb 24 2015: (Start)

a(n) = a(n-2)+a(n-4)-a(n-6) for n>8.

G.f.: x^2*(8*x^6+73*x^5+129*x^4+129*x^3+120*x^2+55*x-1) / ((x-1)^2*(x+1)^2*(x^2+1)).

(End)

Crossrefs

Sequence in context: A154031 A044242 A044623 * A080701 A208294 A039442

Adjacent sequences: A063342 A063343 A063344 * A063346 A063347 A063348

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved