A063208 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 36 ).

1, 1, 2, 3, 4, 4, 6, 6, 7, 8, 9, 9, 11, 11, 12, 13, 14, 14, 16, 16, 17, 18, 19, 19, 21, 21, 22, 23, 24, 24, 26, 26, 27, 28, 29, 29, 31, 31, 32, 33, 34, 34, 36, 36, 37, 38, 39, 39, 41, 41, 42, 43, 44, 44, 46, 46, 47, 48, 49, 49, 51, 51, 52, 53, 54, 54, 56, 56, 57, 58, 59, 59, 61

Offset

1,3

Links

Table of n, a(n) for n=1..73.

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).

Index entries for two-way infinite sequences

Formula

G.f.: x(1-x^5)/((1-x)(1-x^2)(1-x^3)), if n>0. a(n)=-a(1-n). a(n+6)=a(n)+5.

Mathematica

Rest@ CoefficientList[Series[x (1 - x^5)/((1 - x) (1 - x^2) (1 - x^3)), {x, 0, 73}], x] (* Michael De Vlieger, Apr 13 2016 *)
LinearRecurrence[{0, 1, 1, 0, -1}, {1, 1, 2, 3, 4}, 80] (* Harvey P. Dale, Jun 18 2018 *)

Prog

(PARI) a(n)=5*(n-1)\6+(n%6!=0)

Crossrefs

Sequence in context: A342496 A061984 A337125 * A343912 A262265 A227683

Adjacent sequences: A063205 A063206 A063207 * A063209 A063210 A063211

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved