A063227 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 66 ).

3, 4, 8, 12, 16, 16, 24, 24, 28, 32, 36, 36, 44, 44, 48, 52, 56, 56, 64, 64, 68, 72, 76, 76, 84, 84, 88, 92, 96, 96, 104, 104, 108, 112, 116, 116, 124, 124, 128, 132, 136, 136, 144, 144, 148, 152, 156, 156, 164, 164

Offset

1,1

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*(x^5 -4*x^4 -5*x^3 -5*x^2 -4*x- 3)/((x -1)^2*(x +1)*(x^2 +x +1)). [Colin Barker, Sep 27 2012]

Mathematica

LinearRecurrence[{0, 1, 1, 0, -1}, {3, 4, 8, 12, 16, 16}, 50] (* Harvey P. Dale, Dec 16 2017 *)

Crossrefs

Sequence in context: A271474 A120116 A199880 * A293462 A190158 A188217

Adjacent sequences: A063224 A063225 A063226 * A063228 A063229 A063230

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved