

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



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



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



