A063283 - OEIS

A063283

Dimension of the space of weight n cuspidal newforms for Gamma_1( 10 ).

-1, 0, 2, 3, 4, 5, 6, 5, 8, 7, 10, 11, 12, 9, 14, 13, 16, 15, 18, 15, 20, 17, 22, 21, 24, 19, 26, 23, 28, 25, 30, 25, 32, 27, 34, 31, 36, 29, 38, 33, 40, 35, 42, 35, 44, 37, 46, 41, 48, 39, 50, 43, 52, 45, 54, 45, 56, 47, 58, 51, 60, 49, 62, 53, 64, 55, 66

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,3

LINKS

Table of n, a(n) for n=2..68.

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

(End)