A063349 Dimension of the space of weight n cuspidal newforms for Gamma_1( 76 ).

-1, 87, 192, 297, 400, 505, 608, 717, 816, 925, 1024, 1135, 1232, 1345, 1440, 1555, 1648, 1763, 1856, 1975, 2064, 2183, 2272, 2393, 2480, 2603, 2688, 2813, 2896, 3021, 3104, 3233, 3312, 3441, 3520, 3651, 3728, 3861, 3936, 4071, 4144

Offset

2,2

Links

Table of n, a(n) for n=2..42.

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 25 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -87*x -192*x^2 -297*x^3 -401*x^4 -418*x^5 -417*x^6 -333*x^7 -224*x^8 -123*x^9 -15*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A044419 A044800 A067749 * A101259 A063336 A129515

Adjacent sequences: A063346 A063347 A063348 * A063350 A063351 A063352

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved