A063317 Dimension of the space of weight n cuspidal newforms for Gamma_1( 44 ).

-1, 25, 60, 95, 128, 163, 196, 235, 264, 303, 332, 373, 400, 443, 468, 513, 536, 581, 604, 653, 672, 721, 740, 791, 808, 861, 876, 931, 944, 999, 1012, 1071, 1080, 1139, 1148, 1209, 1216, 1279, 1284, 1349, 1352, 1417, 1420, 1489, 1488

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

Formula

From Colin Barker, Feb 24 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -25*x -60*x^2 -95*x^3 -129*x^4 -138*x^5 -137*x^6 -115*x^7 -76*x^8 -45*x^9 -7*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A125827 A250191 A163654 * A241505 A090820 A044127

Adjacent sequences: A063314 A063315 A063316 * A063318 A063319 A063320

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved