A063355 Dimension of the space of weight n cuspidal newforms for Gamma_1( 82 ).

-1, 69, 140, 210, 280, 350, 420, 488, 560, 628, 700, 770, 840, 906, 980, 1048, 1120, 1188, 1260, 1326, 1400, 1466, 1540, 1608, 1680, 1744, 1820, 1886, 1960, 2026, 2100, 2164, 2240, 2304, 2380, 2446, 2520, 2582, 2660, 2724, 2800, 2864

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

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 -69*x -140*x^2 -210*x^3 -281*x^4 -281*x^5 -281*x^6 -209*x^7 -140*x^8 -68*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: A363905 A044192 A044573 * A044320 A044701 A295926

Adjacent sequences: A063352 A063353 A063354 * A063356 A063357 A063358

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved