A063357 - OEIS

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A063357

Dimension of the space of weight n cuspidal newforms for Gamma_1( 84 ).

-1, 72, 150, 230, 314, 392, 476, 548, 638, 710, 802, 868, 964, 1028, 1126, 1186, 1290, 1348, 1452, 1504, 1614, 1666, 1778, 1824, 1940, 1984, 2102, 2142, 2266, 2304, 2428, 2460, 2590, 2622, 2754, 2780, 2916, 2940, 3078, 3098, 3242, 3260

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,2

LINKS

Table of n, a(n) for n=2..43.

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

William A. Stein, The modular forms database

FORMULA

g.f.: x^2*(11*x^8 +77*x^7 +86*x^6 +83*x^5 +158*x^4 +79*x^3 +78*x^2 +73*x -1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)*(x^2 +1)). - Colin Barker, Feb 24 2015

CROSSREFS

Sequence in context: A173727 A342993 A039498 * A240247 A044323 A044704

Adjacent sequences: A063354 A063355 A063356 * A063358 A063359 A063360

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved