A063218 - OEIS

A063218

Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 51 ).

3, 8, 14, 18, 24, 30, 34, 40, 46, 50, 56, 62, 66, 72, 78, 82, 88, 94, 98, 104, 110, 114, 120, 126, 130, 136, 142, 146, 152, 158, 162, 168, 174, 178, 184, 190, 194, 200, 206, 210, 216, 222, 226, 232, 238, 242, 248, 254, 258, 264

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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 (1,0,1,-1).

FORMULA

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

MATHEMATICA

LinearRecurrence[{1, 0, 1, -1}, {3, 8, 14, 18, 24}, 70] (* Harvey P. Dale, Feb 18 2018 *)

CROSSREFS

Sequence in context: A225400 A180867 A343412 * A104656 A179993 A252658

Adjacent sequences: A063215 A063216 A063217 * A063219 A063220 A063221

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 10 2001

STATUS

approved