A063195 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 6 ).

0, 1, 1, 1, 1, 3, 1, 3, 3, 3, 3, 5, 3, 5, 5, 5, 5, 7, 5, 7, 7, 7, 7, 9, 7, 9, 9, 9, 9, 11, 9, 11, 11, 11, 11, 13, 11, 13, 13, 13, 13, 15, 13, 15, 15, 15, 15, 17, 15, 17

Offset: 1

Author

N. J. A. Sloane, Jul 10 2001

Keywords

• nonn
• easy

Links

• R. J. Mathar, Table of n, a(n) for n = 1..1000
• G. Martin, Dimensions of the spaces of cusp forms and newforms on Gamma_0(N) and Gamma_1(N), J. Numb. Theory 112 (2005) 298-331, Theorem 1
• R. J. Mathar, Maple source program for A063195 .. A063247
• 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

G.f. x^2*(1+x+x^4-x^3) / ( (1+x)*(1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015