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A063326 Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ). 0
-1, 92, 208, 325, 442, 559, 676, 793, 910, 1027, 1144, 1259, 1378, 1495, 1612, 1727, 1846, 1961, 2080, 2195, 2314, 2429, 2548, 2661, 2782, 2897, 3016, 3129, 3250, 3363, 3484, 3597, 3718, 3831, 3952, 4063, 4186, 4299, 4420, 4531, 4654 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..42.

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 25 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -92*x -208*x^2 -325*x^3 -443*x^4 -467*x^5 -469*x^6 -376*x^7 -260*x^8 -143*x^9 -25*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: A272369 A044424 A044805 * A185461 A246802 A302351

Adjacent sequences:  A063323 A063324 A063325 * A063327 A063328 A063329

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified September 27 04:10 EDT 2021. Contains 347673 sequences. (Running on oeis4.)