A063308 Dimension of the space of weight n cuspidal newforms for Gamma_1( 35 ).

-1, 25, 70, 112, 154, 196, 238, 280, 322, 364, 406, 452, 490, 532, 574, 620, 658, 704, 742, 788, 826, 872, 910, 960, 994, 1040, 1078, 1128, 1162, 1212, 1246, 1296, 1330, 1380, 1414, 1468, 1498, 1548, 1582, 1636, 1666, 1720, 1750, 1804

Offset

2,2

Links

Table of n, a(n) for n=2..45.

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 24 2016: (Start)

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

G.f.: -x^2*(1 -25*x -70*x^2 -112*x^3 -155*x^4 -171*x^5 -169*x^6 -143*x^7 -98*x^8 -56*x^9 -13*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: A211572 A087239 A032653 * A154050 A182323 A255184

Adjacent sequences: A063305 A063306 A063307 * A063309 A063310 A063311

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved