A063214 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 46 ).

1, 6, 10, 12, 16, 22, 22, 28, 32, 34, 38, 44, 44, 50, 54, 56, 60, 66, 66, 72, 76, 78, 82, 88, 88, 94, 98, 100, 104, 110, 110, 116, 120, 122, 126, 132, 132, 138, 142, 144, 148, 154, 154, 160, 164, 166, 170, 176, 176, 182

Offset

1,2

Links

Table of n, a(n) for n=1..50.

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

a(n) = a(n-2)+a(n-3)-a(n-5) for n>6. G.f.: x*(1 +6*x +9*x^2 +5*x^3 +x^5)/((1 -x)^2*(1 +x)*(1 +x +x^2)). [Colin Barker, Sep 27 2012]

Crossrefs

Sequence in context: A315123 A315124 A370725 * A075082 A101503 A102148

Adjacent sequences: A063211 A063212 A063213 * A063215 A063216 A063217

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved