A063219 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 53 ).

4, 13, 21, 31, 39, 47, 57, 65, 73, 83, 91, 99, 109, 117, 125, 135, 143, 151, 161, 169, 177, 187, 195, 203, 213, 221, 229, 239, 247, 255, 265, 273, 281, 291, 299, 307, 317, 325, 333, 343, 351, 359, 369, 377, 385, 395, 403, 411, 421, 429

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 (1,0,1,-1)

Formula

From Colin Barker, Jan 22 2015: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4) for n>5.

Empirical g.f.: -x*(x^4 - 6*x^3 - 8*x^2 - 9*x - 4) / ((x-1)^2*(x^2 + x + 1)).

(End)

Crossrefs

Sequence in context: A081024 A339216 A155095 * A063121 A199798 A153193

Adjacent sequences: A063216 A063217 A063218 * A063220 A063221 A063222

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved