A063318 Dimension of the space of weight n cuspidal newforms for Gamma_1( 45 ).

-1, 39, 92, 143, 194, 249, 300, 351, 406, 457, 508, 561, 614, 665, 720, 769, 822, 875, 928, 977, 1034, 1083, 1136, 1187, 1242, 1291, 1348, 1395, 1450, 1501, 1556, 1603, 1662, 1709, 1764, 1813, 1870, 1917, 1976, 2021, 2078, 2127, 2184

Offset

2,2

Comments

Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 1, 0, 1, 0, 0, 0, -1). - Harvey P. Dale, Jul 07 2021

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

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 -39*x -92*x^2 -143*x^3 -195*x^4 -210*x^5 -209*x^6 -169*x^7 -120*x^8 -65*x^9 -13*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A044558 A242181 A020168 * A039422 A043245 A044025

Adjacent sequences: A063315 A063316 A063317 * A063319 A063320 A063321

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved