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A063301 Dimension of the space of weight n cuspidal newforms for Gamma_1( 28 ). 0
-1, 8, 22, 36, 48, 62, 74, 92, 100, 118, 126, 146, 152, 174, 178, 202, 204, 228, 230, 258, 256, 284, 282, 312, 308, 340, 334, 368, 360, 394, 386, 424, 412, 450, 438, 478, 464, 506, 490, 534, 516, 560, 542, 590, 568, 616, 594, 644, 620, 672 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..51.

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 -8*x -22*x^2 -36*x^3 -49*x^4 -54*x^5 -53*x^6 -48*x^7 -30*x^8 -20*x^9 -3*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

CROSSREFS

Sequence in context: A301482 A213017 A305515 * A030999 A113744 A058508

Adjacent sequences:  A063298 A063299 A063300 * A063302 A063303 A063304

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified November 14 15:21 EST 2019. Contains 329126 sequences. (Running on oeis4.)