A063277 Dimension of the space of weight n cuspidal newforms for Gamma_1( 4 ).

-1, 0, 0, 0, 1, 1, 2, 0, 3, 1, 4, 1, 5, 1, 6, 1, 7, 2, 8, 1, 9, 2, 10, 2, 11, 2, 12, 2, 13, 3, 14, 2, 15, 3, 16, 3, 17, 3, 18, 3, 19, 4, 20, 3, 21, 4, 22, 4, 23, 4, 24, 4, 25, 5, 26, 4, 27, 5, 28, 5, 29, 5, 30, 5, 31, 6, 32, 5, 33, 6, 34, 6, 35, 6, 36, 6, 37, 7, 38

Offset: 2

Author

N. J. A. Sloane, Jul 14 2001

Keywords

• sign

Links

• William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))
• William A. Stein, The modular forms database
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1, 0, 1, 0, 0, 0, -1).

Crossrefs

Cf. A000027 (bisection), A008615 (bisection)

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

(End)