A063211 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 43 ).

3, 10, 18, 24, 32, 38, 46, 52, 60, 66, 74, 80, 88, 94, 102, 108, 116, 122, 130, 136, 144, 150, 158, 164, 172, 178, 186, 192, 200, 206, 214, 220, 228, 234, 242, 248, 256, 262, 270, 276, 284, 290, 298, 304, 312, 318, 326, 332, 340, 346

Offset

1,1

Links

Table of n, a(n) for n=1..50.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))

William A. Stein, The modular forms database

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

Formula

G.f.: 3*x-2*x^2*(-5-4*x+2*x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015

a(n) = a(n-1) + a(n-2) - a(n-3) for n>=5 with a(1)=3, a(2)=10, a(3)=18, and a(4)=24. - Wesley Ivan Hurt, Oct 14 2023

Mathematica

LinearRecurrence[{1, 1, -1}, {3, 10, 18, 24}, 50] (* Harvey P. Dale, May 24 2023 *)

Crossrefs

Sequence in context: A063234 A063245 A035488 * A063111 A363993 A031063

Adjacent sequences: A063208 A063209 A063210 * A063212 A063213 A063214

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved