A063302 Dimension of the space of weight n cuspidal newforms for Gamma_1( 29 ).

-1, 22, 56, 91, 126, 161, 196, 231, 266, 301, 336, 369, 406, 441, 476, 509, 546, 579, 616, 649, 686, 719, 756, 787, 826, 859, 896, 927, 966, 997, 1036, 1067, 1106, 1137, 1176, 1205, 1246, 1277, 1316, 1345, 1386, 1415, 1456, 1485, 1526

Offset

2,2

Links

Table of n, a(n) for n=2..46.

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 24 2016: (Start)

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

G.f.: -x^2*(1 -22*x -56*x^2 -91*x^3 -127*x^4 -139*x^5 -141*x^6 -118*x^7 -84*x^8 -49*x^9 -13*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: A244212 A303582 A289015 * A088820 A058097 A131878

Adjacent sequences: A063299 A063300 A063301 * A063303 A063304 A063305

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved