A063282 Dimension of the space of weight n cuspidal newforms for Gamma_1( 9 ).

-1, 0, 2, 5, 8, 9, 12, 15, 16, 19, 22, 24, 26, 29, 30, 34, 36, 38, 40, 44, 44, 48, 50, 53, 54, 58, 58, 63, 64, 67, 68, 73, 72, 77, 78, 82, 82, 87, 86, 92, 92, 96, 96, 102, 100, 106, 106, 111, 110, 116, 114, 121, 120, 125, 124, 131, 128, 135, 134, 140

Offset

2,3

Links

Table of n, a(n) for n=2..61.

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 -2*x^2 -5*x^3 -9*x^4 -9*x^5 -11*x^6 -10*x^7 -6*x^8 -5*x^9 -x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A108968 A289628 A047387 * A276882 A045928 A190768

Adjacent sequences: A063279 A063280 A063281 * A063283 A063284 A063285

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved