A063333 Dimension of the space of weight n cuspidal newforms for Gamma_1( 60 ).

-1, 34, 70, 108, 150, 186, 228, 258, 306, 336, 386, 410, 464, 486, 542, 560, 622, 638, 700, 710, 778, 788, 858, 862, 936, 938, 1014, 1012, 1094, 1090, 1172, 1162, 1250, 1240, 1330, 1314, 1408, 1390, 1486, 1464, 1566, 1542, 1644, 1614, 1722

Offset

2,2

Links

Table of n, a(n) for n=2..46.

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*(7*x^8 +35*x^7 +44*x^6 +37*x^5 +78*x^4 +37*x^3 +36*x^2 +35*x -1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)*(x^2 +1)). - Colin Barker, Feb 24 2015

Mathematica

LinearRecurrence[{1, 0, -1, 2, -1, 0, 1, -1}, {-1, 34, 70, 108, 150, 186, 228, 258, 306}, 50] (* Harvey P. Dale, Aug 10 2024 *)

Crossrefs

Sequence in context: A063331 A044136 A044517 * A079863 A154095 A184066

Adjacent sequences: A063330 A063331 A063332 * A063334 A063335 A063336

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved