A063293 Dimension of the space of weight n cuspidal newforms for Gamma_1( 20 ).

-1, 3, 10, 17, 22, 29, 34, 45, 46, 57, 58, 71, 70, 85, 82, 99, 94, 111, 106, 127, 118, 139, 130, 153, 142, 167, 154, 181, 166, 193, 178, 209, 190, 221, 202, 235, 214, 249, 226, 263, 238, 275, 250, 291, 262, 303, 274, 317, 286, 331, 298, 345, 310

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. A017641 (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 -3*x -10*x^2 -17*x^3 -23*x^4 -26*x^5 -25*x^6 -25*x^7 -14*x^8 -11*x^9 -x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)