A063364 Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).

-1, 261, 582, 900, 1218, 1536, 1854, 2172, 2490, 2808, 3126, 3448, 3762, 4080, 4398, 4720, 5034, 5356, 5670, 5992, 6306, 6628, 6942, 7268, 7578, 7900, 8214, 8540, 8850, 9176, 9486, 9812, 10122, 10448, 10758, 11088, 11394, 11720, 12030

Offset

2,2

Links

Table of n, a(n) for n=2..40.

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 -261*x -582*x^2 -900*x^3 -1219*x^4 -1275*x^5 -1273*x^6 -1011*x^7 -690*x^8 -372*x^9 -53*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: A079506 A028527 A014569 * A264894 A028536 A238909

Adjacent sequences: A063361 A063362 A063363 * A063365 A063366 A063367

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved