A063353 Dimension of the space of weight n cuspidal newforms for Gamma_1( 80 ).

-1, 86, 184, 284, 382, 482, 580, 680, 778, 878, 976, 1076, 1174, 1274, 1372, 1472, 1570, 1670, 1768, 1868, 1966, 2066, 2164, 2264, 2362, 2462, 2560, 2660, 2758, 2858, 2956, 3056, 3154, 3254, 3352, 3452, 3550, 3650, 3748, 3848, 3946, 4046

Offset

2,2

Links

Table of n, a(n) for n=2..43.

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

William A. Stein, The modular forms database

Formula

a(n) = (-(-1)^n+198*n-423)/2 for n>2. a(n) = a(n-1)+a(n-2)-a(n-3) for n>5. G.f.: x^2*(-1+87*x+99*x^2+13*x^3)/((1-x)^2*(1+x)). [Colin Barker, Sep 28 2012]

Crossrefs

Sequence in context: A044256 A044637 A229359 * A044418 A044799 A202532

Adjacent sequences: A063350 A063351 A063352 * A063354 A063355 A063356

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved