A063216 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 49 ).

1, 8, 14, 22, 28, 35, 42, 49, 55, 63, 69, 76, 83, 90, 96, 104, 110, 117, 124, 131, 137, 145, 151, 158, 165, 172, 178, 186, 192, 199, 206, 213, 219, 227, 233, 240, 247, 254, 260, 268, 274, 281, 288, 295, 301, 309, 315, 322, 329, 336

Offset

1,2

Links

Table of n, a(n) for n=1..50.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))

William A. Stein, The modular forms database

Index entries for linear recurrences with constant coefficients, signature (0,1,1,0,-1).

Formula

a(n) = a(n-2)+a(n-3)-a(n-5). G.f.: x*(1 +8*x +13*x^2 +13*x^3 +6*x^4)/((1 -x)^2*(1 +x)*(1 +x +x^2)). [Colin Barker, Sep 27 2012]

Crossrefs

Sequence in context: A322410 A191352 A287177 * A238290 A100315 A224952

Adjacent sequences: A063213 A063214 A063215 * A063217 A063218 A063219

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved