A063340 Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).

-1, 155, 341, 528, 715, 902, 1089, 1276, 1463, 1650, 1837, 2022, 2211, 2398, 2585, 2770, 2959, 3144, 3333, 3518, 3707, 3892, 4081, 4264, 4455, 4640, 4829, 5012, 5203, 5386, 5577, 5760, 5951, 6134, 6325, 6506, 6699, 6882, 7073, 7254

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 -155*x -341*x^2 -528*x^3 -716*x^4 -747*x^5 -749*x^6 -593*x^7 -407*x^8 -220*x^9 -32*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: A089256 A112136 A119609 * A105986 A259957 A129640

Adjacent sequences: A063337 A063338 A063339 * A063341 A063342 A063343

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved