A063307 Dimension of the space of weight n cuspidal newforms for Gamma_1( 34 ).

-1, 11, 24, 36, 48, 60, 72, 82, 96, 106, 120, 132, 144, 152, 168, 178, 192, 202, 216, 224, 240, 248, 264, 274, 288, 294, 312, 320, 336, 344, 360, 366, 384, 390, 408, 416, 432, 436, 456, 462, 480, 486, 504, 508, 528, 532, 552, 558, 576, 578

Offset

2,2

Links

Harvey P. Dale, Table of n, a(n) for n = 2..1000

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 -11*x -24*x^2 -36*x^3 -49*x^4 -49*x^5 -49*x^6 -35*x^7 -24*x^8 -10*x^9 +x^10 -x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Mathematica

LinearRecurrence[{0, 0, 0, 1, 0, 1, 0, 0, 0, -1}, {-1, 11, 24, 36, 48, 60, 72, 82, 96, 106, 120, 132}, 50] (* Harvey P. Dale, Mar 17 2024 *)

Crossrefs

Sequence in context: A051909 A372582 A112134 * A213991 A269100 A213062

Adjacent sequences: A063304 A063305 A063306 * A063308 A063309 A063310

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved