A063276 Dimension of the space of weight n cuspidal newforms for Gamma_1( 3 ).

-1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 3, 3, 4, 2, 4, 3, 5, 3, 6, 4, 6, 3, 7, 5, 8, 4, 8, 5, 9, 5, 10, 6, 10, 5, 11, 7, 12, 6, 12, 7, 13, 7, 14, 8, 14, 7, 15, 9, 16, 8, 16, 9, 17, 9, 18, 10, 18, 9, 19, 11, 20, 10, 20, 11, 21, 11, 22, 12, 22, 11, 23, 13, 24, 12, 24

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
• R. J. Mathar, Maple program for A063276 .. A063363
• Index entries for linear recurrences with constant coefficients, signature (1, 0, -1, 2, -1, 0, 1, -1).

Crossrefs

Cf. A004523 (bisection), A051274 (bisection).

Formula

g.f.: -x^2*(x^9-x^8-x^7-2*x^4+x^3-x+1) / ((x-1)^2*(x+1)^2*(x^2-x+1)*(x^2+1)). - Colin Barker, Feb 24 2015