A063325 Dimension of the space of weight n cuspidal newforms for Gamma_1( 52 ).

-1, 37, 86, 135, 182, 231, 278, 331, 374, 427, 470, 525, 566, 623, 662, 721, 758, 817, 854, 917, 950, 1013, 1046, 1111, 1142, 1209, 1238, 1307, 1334, 1403, 1430, 1503, 1526, 1599, 1622, 1697, 1718, 1795, 1814, 1893, 1910, 1989, 2006, 2089

Offset

2,2

Links

Table of n, a(n) for n=2..45.

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 -37*x -86*x^2 -135*x^3 -183*x^4 -194*x^5 -193*x^6 -159*x^7 -106*x^8 -61*x^9 -9*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A299217 A172193 A141918 * A044175 A044556 A350003

Adjacent sequences: A063322 A063323 A063324 * A063326 A063327 A063328

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved