A063358 Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).

-1, 215, 480, 742, 1004, 1266, 1528, 1790, 2052, 2314, 2576, 2842, 3100, 3362, 3624, 3890, 4148, 4414, 4672, 4938, 5196, 5462, 5720, 5990, 6244, 6510, 6768, 7038, 7292, 7562, 7816, 8086, 8340, 8610, 8864, 9138, 9388, 9658, 9912, 10186

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 -215*x -480*x^2 -742*x^3 -1005*x^4 -1051*x^5 -1049*x^6 -833*x^7 -568*x^8 -306*x^9 -43*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: A038860 A120536 A043391 * A193398 A193396 A259889

Adjacent sequences: A063355 A063356 A063357 * A063359 A063360 A063361

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved