A063212 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 44 ).

1, 3, 3, 7, 7, 9, 11, 13, 13, 17, 17, 19, 21, 23, 23, 27, 27, 29, 31, 33, 33, 37, 37, 39, 41, 43, 43, 47, 47, 49, 51, 53, 53, 57, 57, 59, 61, 63, 63, 67, 67, 69, 71, 73, 73, 77, 77, 79, 81, 83

Offset: 1

Author

N. J. A. Sloane, Jul 10 2001

Keywords

• nonn

Links

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