A063332 Dimension of the space of weight n cuspidal newforms for Gamma_1( 59 ).

-1, 117, 261, 406, 551, 696, 841, 986, 1131, 1276, 1421, 1564, 1711, 1856, 2001, 2144, 2291, 2434, 2581, 2724, 2871, 3014, 3161, 3302, 3451, 3594, 3741, 3882, 4031, 4172, 4321, 4462, 4611, 4752, 4901, 5040, 5191, 5332, 5481, 5620, 5771

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

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 -117*x -261*x^2 -406*x^3 -552*x^4 -579*x^5 -581*x^6 -463*x^7 -319*x^8 -174*x^9 -28*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: A031174 A146172 A146189 * A063338 A304611 A304610

Adjacent sequences: A063329 A063330 A063331 * A063333 A063334 A063335

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved