A063291 Dimension of the space of weight n cuspidal newforms for Gamma_1( 18 ).

-1, 2, 6, 7, 8, 13, 14, 16, 20, 22, 22, 27, 28, 31, 34, 36, 36, 42, 42, 45, 48, 51, 50, 56, 56, 60, 62, 65, 64, 71, 70, 74, 76, 80, 78, 85, 84, 89, 90, 94, 92, 100, 98, 103, 104, 109, 106, 114, 112, 118, 118, 123, 120, 129, 126, 132, 132, 138, 134, 143

Offset

2,2

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

(End)

Crossrefs

Cf. A315907 (bisection?)

Sequence in context: A030366 A048859 A026311 * A088225 A165775 A258826

Adjacent sequences: A063288 A063289 A063290 * A063292 A063293 A063294

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved