A063362 Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).

-1, 287, 616, 946, 1276, 1606, 1936, 2266, 2596, 2926, 3256, 3584, 3916, 4246, 4576, 4904, 5236, 5564, 5896, 6224, 6556, 6884, 7216, 7542, 7876, 8204, 8536, 8862, 9196, 9522, 9856, 10182, 10516, 10842, 11176, 11500, 11836, 12162

Offset

2,2

Links

Table of n, a(n) for n=2..39.

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 -287*x -616*x^2 -946*x^3 -1277*x^4 -1319*x^5 -1321*x^6 -1033*x^7 -704*x^8 -374*x^9 -43*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: A306788 A259402 A157997 * A159949 A158252 A236869

Adjacent sequences: A063359 A063360 A063361 * A063363 A063364 A063365

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved