A063335 Dimension of the space of weight n cuspidal newforms for Gamma_1( 62 ).

-1, 39, 80, 120, 160, 200, 240, 278, 320, 358, 400, 440, 480, 516, 560, 598, 640, 678, 720, 756, 800, 836, 880, 918, 960, 994, 1040, 1076, 1120, 1156, 1200, 1234, 1280, 1314, 1360, 1396, 1440, 1472, 1520, 1554, 1600, 1634, 1680, 1712, 1760

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 -39*x -80*x^2 -120*x^3 -161*x^4 -161*x^5 -161*x^6 -119*x^7 -80*x^8 -38*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: A290815 A355857 A354227 * A020264 A044177 A044558

Adjacent sequences: A063332 A063333 A063334 * A063336 A063337 A063338

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved