A063365 Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).

-1, 132, 286, 440, 592, 746, 898, 1056, 1204, 1362, 1510, 1670, 1816, 1978, 2122, 2286, 2428, 2592, 2734, 2902, 3040, 3208, 3346, 3516, 3652, 3824, 3958, 4132, 4264, 4438, 4570, 4748, 4876, 5054, 5182, 5362, 5488, 5670, 5794, 5978, 6100

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

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 -132*x -286*x^2 -440*x^3 -593*x^4 -614*x^5 -613*x^6 -484*x^7 -326*x^8 -176*x^9 -19*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A195674 A319274 A241754 * A116869 A035141 A205222

Adjacent sequences: A063362 A063363 A063364 * A063366 A063367 A063368

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved