A063338 Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).

-1, 117, 272, 424, 576, 728, 880, 1032, 1184, 1336, 1488, 1644, 1792, 1944, 2096, 2252, 2400, 2556, 2704, 2860, 3008, 3164, 3312, 3472, 3616, 3772, 3920, 4080, 4224, 4384, 4528, 4688, 4832, 4992, 5136, 5300, 5440, 5600, 5744, 5908, 6048

Offset

2,2

Links

Table of n, a(n) for n=2..42.

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 24 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -117*x -272*x^2 -424*x^3 -577*x^4 -611*x^5 -609*x^6 -491*x^7 -336*x^8 -184*x^9 -31*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: A146172 A146189 A063332 * A304611 A304610 A298047

Adjacent sequences: A063335 A063336 A063337 * A063339 A063340 A063341

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved