A063329 Dimension of the space of weight n cuspidal newforms for Gamma_1( 56 ).

-1, 42, 94, 144, 198, 248, 302, 350, 406, 454, 510, 556, 614, 660, 718, 762, 822, 866, 926, 968, 1030, 1072, 1134, 1174, 1238, 1278, 1342, 1380, 1446, 1484, 1550, 1586, 1654, 1690, 1758, 1792, 1862, 1896, 1966, 1998, 2070, 2102, 2174

Offset

2,2

Links

Table of n, a(n) for n=2..44.

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 (0,1,0,1,0,-1).

Formula

From Colin Barker, Feb 24 2015: (Start)

a(n) = a(n-2)+a(n-4)-a(n-6) for n>8.

G.f.: x^2*(9*x^6+62*x^5+105*x^4+102*x^3+95*x^2+42*x-1) / ((x-1)^2*(x+1)^2*(x^2+1)).

(End)

Mathematica

LinearRecurrence[{0, 1, 0, 1, 0, -1}, {-1, 42, 94, 144, 198, 248, 302}, 50] (* Harvey P. Dale, Jun 10 2022 *)

Crossrefs

Sequence in context: A169680 A177772 A169738 * A172465 A235109 A039470

Adjacent sequences: A063326 A063327 A063328 * A063330 A063331 A063332

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved