A063337 Dimension of the space of weight n cuspidal newforms for Gamma_1( 64 ).

-1, 61, 133, 205, 277, 349, 421, 493, 565, 637, 709, 781, 853, 925, 997, 1069, 1141, 1213, 1285, 1357, 1429, 1501, 1573, 1645, 1717, 1789, 1861, 1933, 2005, 2077, 2149, 2221, 2293, 2365, 2437, 2509, 2581, 2653, 2725, 2797, 2869, 2941

Offset

2,2

Comments

Conjecture: a(n) = 72*n - 155 for n > 2. - Peter Luschny, Mar 05 2012

Links

Table of n, a(n) for n=2..43.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

Index entries for linear recurrences with constant coefficients, signature (2, -1).

Formula

a(n) = 2*a(n-1)-a(n-2) for n>4. G.f.: x^2*(-1+63*x+10*x^2)/(1-x)^2. [Colin Barker, Sep 28 2012]

Crossrefs

Sequence in context: A305506 A073761 A142093 * A306750 A142172 A168023

Adjacent sequences: A063334 A063335 A063336 * A063338 A063339 A063340

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved