A063217 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 50 ).

2, 5, 7, 12, 14, 17, 21, 24, 26, 31, 33, 36, 40, 43, 45, 50, 52, 55, 59, 62, 64, 69, 71, 74, 78, 81, 83, 88, 90, 93, 97, 100, 102, 107, 109, 112, 116, 119, 121, 126, 128, 131, 135, 138, 140, 145, 147, 150, 154, 157

Offset

1,1

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*(2 +5*x +5*x^2 +5*x^3 +2*x^4)/((1 -x)^2*(1 +x)*(1 +x +x^2)). [Colin Barker, Sep 27 2012]

Crossrefs

Sequence in context: A007445 A350129 A159699 * A088821 A057897 A294146

Adjacent sequences: A063214 A063215 A063216 * A063218 A063219 A063220

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved