A063278 - OEIS

A063278

Dimension of the space of weight n cuspidal newforms for Gamma_1( 5 ).

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

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OFFSET

2,5

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

(End)