A063350 Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).

-1, 179, 408, 634, 860, 1086, 1312, 1538, 1764, 1990, 2216, 2446, 2668, 2894, 3120, 3350, 3572, 3802, 4024, 4254, 4476, 4706, 4928, 5162, 5380, 5610, 5832, 6066, 6284, 6518, 6736, 6970, 7188, 7422, 7640, 7878, 8092, 8326, 8544, 8782

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 -179*x -408*x^2 -634*x^3 -861*x^4 -907*x^5 -905*x^6 -725*x^7 -496*x^8 -270*x^9 -43*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: A109985 A101795 A142389 * A094492 A162163 A062651

Adjacent sequences: A063347 A063348 A063349 * A063351 A063352 A063353

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved