A063346 Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).

-1, 187, 408, 630, 852, 1074, 1296, 1518, 1740, 1962, 2184, 2404, 2628, 2850, 3072, 3292, 3516, 3736, 3960, 4180, 4404, 4624, 4848, 5066, 5292, 5512, 5736, 5954, 6180, 6398, 6624, 6842, 7068, 7286, 7512, 7728, 7956, 8174, 8400, 8616

Offset

2,2

Links

Table of n, a(n) for n=2..41.

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 -187*x -408*x^2 -630*x^3 -853*x^4 -887*x^5 -889*x^6 -701*x^7 -480*x^8 -258*x^9 -35*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: A045224 A362630 A308810 * A350044 A241670 A134163

Adjacent sequences: A063343 A063344 A063345 * A063347 A063348 A063349

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved