A063344 Dimension of the space of weight n cuspidal newforms for Gamma_1( 71 ).

-1, 176, 385, 595, 805, 1015, 1225, 1435, 1645, 1855, 2065, 2273, 2485, 2695, 2905, 3113, 3325, 3533, 3745, 3953, 4165, 4373, 4585, 4791, 5005, 5213, 5425, 5631, 5845, 6051, 6265, 6471, 6685, 6891, 7105, 7309, 7525, 7731, 7945, 8149

Offset

2,2

Links

Table of n, a(n) for n=2..41.

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 -176*x -385*x^2 -595*x^3 -806*x^4 -839*x^5 -841*x^6 -664*x^7 -455*x^8 -245*x^9 -34*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: A305062 A342452 A336026 * A075291 A200835 A133063

Adjacent sequences: A063341 A063342 A063343 * A063345 A063346 A063347

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved