A063348 - OEIS

A063348

Dimension of the space of weight n cuspidal newforms for Gamma_1( 75 ).

-1, 119, 256, 394, 532, 671, 809, 947, 1086, 1224, 1362, 1499, 1639, 1777, 1916, 2052, 2192, 2329, 2469, 2605, 2746, 2882, 3022, 3157, 3299, 3435, 3576, 3710, 3852, 3987, 4129, 4263, 4406, 4540, 4682, 4815, 4959, 5093, 5236, 5368, 5512

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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

g.f.: x^2*(20*x^8 +139*x^7 +139*x^6 +156*x^5 +259*x^4 +137*x^3 +137*x^2 +120*x -1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)*(x^2 +1)). - Colin Barker, Feb 24 2015

CROSSREFS

Sequence in context: A227515 A207059 A257603 * A243581 A103852 A157040

Adjacent sequences: A063345 A063346 A063347 * A063349 A063350 A063351

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved