A063328 Dimension of the space of weight n cuspidal newforms for Gamma_1( 55 ).

-1, 79, 190, 298, 406, 514, 622, 730, 838, 946, 1054, 1166, 1270, 1378, 1486, 1598, 1702, 1814, 1918, 2030, 2134, 2246, 2350, 2466, 2566, 2678, 2782, 2898, 2998, 3114, 3214, 3330, 3430, 3546, 3646, 3766, 3862, 3978, 4078, 4198, 4294

Offset

2,2

Links

Table of n, a(n) for n=2..42.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

Formula

From Colin Barker, Feb 25 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -79*x -190*x^2 -298*x^3 -407*x^4 -435*x^5 -433*x^6 -353*x^7 -242*x^8 -134*x^9 -25*x^10 -x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A044792 A244775 A142493 * A142678 A358315 A191227

Adjacent sequences: A063325 A063326 A063327 * A063329 A063330 A063331

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved