A063363 Dimension of the space of weight n cuspidal newforms for Gamma_1( 90 ).

-1, 53, 102, 157, 212, 259, 314, 367, 416, 469, 526, 573, 628, 679, 730, 783, 840, 885, 942, 993, 1044, 1095, 1154, 1199, 1256, 1305, 1358, 1409, 1468, 1511, 1570, 1619, 1672, 1721, 1782, 1825, 1884, 1931, 1986, 2035, 2096, 2137, 2198

Offset

2,2

Links

Table of n, a(n) for n=2..44.

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 -53*x -102*x^2 -157*x^3 -213*x^4 -206*x^5 -213*x^6 -157*x^7 -102*x^8 -53*x^9 +x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A139959 A044142 A044523 * A288619 A039476 A338836

Adjacent sequences: A063360 A063361 A063362 * A063364 A063365 A063366

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved