

A063198


Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 10 ).


1



0, 1, 3, 1, 3, 5, 3, 5, 7, 5, 7, 9, 7, 9, 11, 9, 11, 13, 11, 13, 15, 13, 15, 17, 15, 17, 19, 17, 19, 21, 19, 21, 23, 21, 23, 25, 23, 25, 27, 25, 27, 29, 27, 29, 31, 29, 31, 33, 31, 33
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OFFSET

1,3


COMMENTS

The dimension of weight n is apparently given by 0, 0, 2, 1, 0, 3, 2, 1, 4,... etc as in A063942.  R. J. Mathar, Jul 14 2015


LINKS

R. J. Mathar, Table of n, a(n) for n = 1..1000
William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))
William A. Stein, The modular forms database
Index entries for linear recurrences with constant coefficients, signature (1,0,1,1).


FORMULA

G.f.: x^2*(1+2*x2*x^2+x^3) / ( (1+x+x^2)*(x1)^2 ).  R. J. Mathar, Jul 15 2015
For n>1, a(n) = (6*n3+12*cos(2*n*Pi/3)4*sqrt(3)*sin(2*n*Pi/3))/9.  Wesley Ivan Hurt, Sep 30 2017


CROSSREFS

Cf. A063942.
Sequence in context: A284130 A005474 A012264 * A122582 A173039 A016471
Adjacent sequences: A063195 A063196 A063197 * A063199 A063200 A063201


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane, Jul 10 2001


STATUS

approved



