A063372 Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).

-1, 240, 521, 800, 1079, 1362, 1641, 1920, 2203, 2482, 2761, 3042, 3323, 3602, 3885, 4162, 4443, 4724, 5005, 5282, 5567, 5844, 6125, 6404, 6687, 6964, 7249, 7524, 7807, 8086, 8369, 8644, 8931, 9206, 9489, 9766, 10051, 10326, 10613

Offset

2,2

Links

Table of n, a(n) for n=2..40.

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

William A. Stein, The modular forms database

Formula

Conjectures 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 -240*x -521*x^2 -800*x^3 -1080*x^4 -1122*x^5 -1121*x^6 -880*x^7 -603*x^8 -320*x^9 -40*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A179440 A154378 A300145 * A070123 A119659 A263161

Adjacent sequences: A063369 A063370 A063371 * A063373 A063374 A063375

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved