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A063286 Dimension of the space of weight n cuspidal newforms for Gamma_1( 13 ). 0
-1, 2, 8, 15, 22, 29, 36, 43, 50, 57, 64, 69, 78, 85, 92, 97, 106, 111, 120, 125, 134, 139, 148, 151, 162, 167, 176, 179, 190, 193, 204, 207, 218, 221, 232, 233, 246, 249, 260, 261, 274, 275, 288, 289, 302, 303, 316, 315, 330, 331, 344, 343, 358 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..54.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

FORMULA

Conjectures 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 -2*x -8*x^2 -15*x^3 -23*x^4 -27*x^5 -29*x^6 -26*x^7 -20*x^8 -13*x^9 -5*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

CROSSREFS

Sequence in context: A277139 A213082 A246304 * A133230 A318242 A318272

Adjacent sequences:  A063283 A063284 A063285 * A063287 A063288 A063289

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified June 23 11:02 EDT 2021. Contains 345397 sequences. (Running on oeis4.)