A063330 Dimension of the space of weight n cuspidal newforms for Gamma_1( 57 ).

-1, 71, 162, 252, 342, 430, 520, 610, 698, 788, 878, 970, 1056, 1146, 1234, 1328, 1414, 1506, 1592, 1686, 1770, 1864, 1950, 2046, 2128, 2222, 2306, 2404, 2486, 2582, 2664, 2762, 2842, 2940, 3022, 3122, 3200, 3298, 3378, 3480, 3558, 3658

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

Index entries for linear recurrences with constant coefficients, signature (1, 0, -1, 2, -1, 0, 1, -1).

Formula

g.f.: x^2*(x^9 +14*x^8 +91*x^7 +89*x^6 +107*x^5 +163*x^4 +89*x^3 +91*x^2 +72*x-1) / ((x-1)^2*(x +1)^2*(x^2-x +1)*(x^2 +1)). - Colin Barker, Feb 24 2015

Crossrefs

Sequence in context: A044703 A372188 A142277 * A142344 A278127 A044403

Adjacent sequences: A063327 A063328 A063329 * A063331 A063332 A063333

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved