A063284 Dimension of the space of weight n cuspidal newforms for Gamma_1( 11 ).

-1, 1, 5, 10, 15, 20, 25, 30, 35, 40, 45, 48, 55, 60, 65, 68, 75, 78, 85, 88, 95, 98, 105, 106, 115, 118, 125, 126, 135, 136, 145, 146, 155, 156, 165, 164, 175, 176, 185, 184, 195, 194, 205, 204, 215, 214, 225, 222, 235, 234, 245, 242, 255, 252

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. A017329 (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 -x -5*x^2 -10*x^3 -16*x^4 -19*x^5 -21*x^6 -19*x^7 -15*x^8 -10*x^9 -4*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)