A063371 Dimension of the space of weight n cuspidal newforms for Gamma_1( 98 ).

-1, 95, 188, 282, 376, 470, 564, 659, 752, 847, 940, 1034, 1128, 1224, 1316, 1411, 1504, 1599, 1692, 1788, 1880, 1976, 2068, 2163, 2256, 2353, 2444, 2540, 2632, 2728, 2820, 2917, 3008, 3105, 3196, 3292, 3384, 3482, 3572, 3669, 3760, 3857

Offset

2,2

Links

Table of n, a(n) for n=2..43.

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 -95*x -188*x^2 -282*x^3 -377*x^4 -375*x^5 -377*x^6 -282*x^7 -188*x^8 -95*x^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: A378950 A134217 A039552 * A044427 A044808 A116113

Adjacent sequences: A063368 A063369 A063370 * A063372 A063373 A063374

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved