A063367 Dimension of the space of weight n cuspidal newforms for Gamma_1( 94 ).

-1, 91, 184, 276, 368, 460, 552, 642, 736, 826, 920, 1012, 1104, 1192, 1288, 1378, 1472, 1562, 1656, 1744, 1840, 1928, 2024, 2114, 2208, 2294, 2392, 2480, 2576, 2664, 2760, 2846, 2944, 3030, 3128, 3216, 3312, 3396, 3496, 3582, 3680, 3766

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 -91*x -184*x^2 -276*x^3 -369*x^4 -369*x^5 -369*x^6 -275*x^7 -184*x^8 -90*x^9 +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: A226683 A370053 A037998 * A064904 A352133 A044423

Adjacent sequences: A063364 A063365 A063366 * A063368 A063369 A063370

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved