A063279 Dimension of the space of weight n cuspidal newforms for Gamma_1( 6 ).

-1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 4, 3, 4, 1, 4, 3, 6, 3, 6, 3, 6, 3, 8, 5, 8, 3, 8, 5, 10, 5, 10, 5, 10, 5, 12, 7, 12, 5, 12, 7, 14, 7, 14, 7, 14, 7, 16, 9, 16, 7, 16, 9, 18, 9, 18, 9, 18, 9, 20, 11, 20, 9, 20, 11, 22, 11, 22, 11, 22, 11, 24, 13, 24, 11, 24, 13, 26, 13

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. A302402 (bisection), A063195 (bisection)

Formula

g.f.: x^2*(x^9-2*x^8+2*x^6-2*x^5+3*x^4+x-1) / ((x-1)^2*(x+1)^2*(x^2-x+1)*(x^2+1)). - Colin Barker, Feb 24 2015