A063331 Dimension of the space of weight n cuspidal newforms for Gamma_1( 58 ).

-1, 34, 70, 105, 140, 175, 210, 243, 280, 313, 350, 385, 420, 451, 490, 523, 560, 593, 630, 661, 700, 731, 770, 803, 840, 869, 910, 941, 980, 1011, 1050, 1079, 1120, 1149, 1190, 1221, 1260, 1287, 1330, 1359, 1400, 1429, 1470, 1497, 1540

Offset

2,2

Links

Table of n, a(n) for n=2..46.

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 -34*x -70*x^2 -105*x^3 -141*x^4 -141*x^5 -141*x^6 -104*x^7 -70*x^8 -33*x^9 +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: A028381 A277113 A036180 * A044136 A044517 A063333

Adjacent sequences: A063328 A063329 A063330 * A063332 A063333 A063334

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved