A063316 Dimension of the space of weight n cuspidal newforms for Gamma_1( 43 ).

-1, 57, 133, 210, 287, 364, 441, 518, 595, 672, 749, 824, 903, 980, 1057, 1132, 1211, 1286, 1365, 1440, 1519, 1594, 1673, 1746, 1827, 1902, 1981, 2054, 2135, 2208, 2289, 2362, 2443, 2516, 2597, 2668, 2751, 2824, 2905, 2976, 3059, 3130

Offset

2,2

Links

Table of n, a(n) for n=2..43.

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 -57*x -133*x^2 -210*x^3 -288*x^4 -307*x^5 -309*x^6 -251*x^7 -175*x^8 -98*x^9 -20*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A154092 A118152 A020186 * A020284 A140367 A044308

Adjacent sequences: A063313 A063314 A063315 * A063317 A063318 A063319

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved