A063221 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 57 ).

3, 10, 14, 22, 26, 34, 38, 46, 50, 58, 62, 70, 74, 82, 86, 94, 98, 106, 110, 118, 122, 130, 134, 142, 146, 154, 158, 166, 170, 178, 182, 190, 194, 202, 206, 214, 218, 226, 230, 238, 242, 250, 254, 262, 266, 274, 278, 286, 290, 298

Offset: 1

Author

N. J. A. Sloane, Jul 10 2001

Keywords

• nonn
• changed

Links

• 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 (1,1,-1).

Crossrefs

Cf. A007310.

Essentially the same as A091999.

Formula

Seems to be 6n - 3 + A062157(n-1). - Ralf Stephan, Feb 16 2004

G.f.: 3x-2*x^2*(-5-2*x+x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015

a(n) = 2*A007310(n) for n>1. - Philippe Deléham, Nov 23 2016