A063281 Dimension of the space of weight n cuspidal newforms for Gamma_1( 8 ).

-1, 0, 1, 3, 3, 5, 5, 8, 7, 10, 9, 13, 11, 15, 13, 18, 15, 20, 17, 23, 19, 25, 21, 28, 23, 30, 25, 33, 27, 35, 29, 38, 31, 40, 33, 43, 35, 45, 37, 48, 39, 50, 41, 53, 43, 55, 45, 58, 47, 60, 49, 63, 51, 65, 53, 68, 55, 70, 57, 73, 59, 75, 61, 78, 63, 80

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 (0, 1, 0, 1, 0, -1).

Crossrefs

Cf. A005408 (bisection), A047218 (bisection).

Formula

G.f.: x^2*(2*x^5 +3*x^4 +3*x^3 +2*x^2 -1)/((x -1)^2*(x +1)^2*(x^2 +1)). [Colin Barker, Sep 28 2012]