A063285 Dimension of the space of weight n cuspidal newforms for Gamma_1( 12 ).

-1, 0, 3, 5, 5, 8, 8, 14, 11, 17, 13, 22, 16, 26, 19, 31, 21, 34, 24, 40, 27, 43, 29, 48, 32, 52, 35, 57, 37, 60, 40, 66, 43, 69, 45, 74, 48, 78, 51, 83, 53, 86, 56, 92, 59, 95, 61, 100, 64, 104, 67, 109, 69, 112, 72, 118, 75, 121, 77, 126, 80, 130

Offset: 2

Author

N. J. A. Sloane, Jul 14 2001

Keywords

• sign

Links

• William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))
• William A. Stein, The modular forms database
• Index entries for linear recurrences with constant coefficients, signature (1, 0, -1, 2, -1, 0, 1, -1).

Crossrefs

Cf. A047622 (bisection).

Formula

g.f.: -x^2*(x^8-5*x^7+x^6-5*x^5-2*x^4-x^3-3*x^2-x+1) / ((x-1)^2*(x+1)^2*(x^2-x+1)*(x^2+1)). - Colin Barker, Feb 24 2015