A063201 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 18 ).

0, 1, 3, 2, 4, 5, 5, 6, 8, 7, 9, 10, 10, 11, 13, 12, 14, 15, 15, 16, 18, 17, 19, 20, 20, 21, 23, 22, 24, 25, 25, 26, 28, 27, 29, 30, 30, 31, 33, 32, 34, 35, 35, 36, 38, 37, 39, 40, 40, 41

Offset: 1

Author

N. J. A. Sloane, Jul 10 2001

Keywords

• nonn

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