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%I #18 Sep 08 2022 08:45:44
%S 1,1,1,2,1,1,1,2,2,1,1,2,1,1,1,3,1,2,1,2,1,1,1,2,2,1,2,2,1,1,1,3,1,1,
%T 1,4,1,1,1,2,1,1,1,2,2,1,1,3,2,2,1,2,1,2,1,2,1,1,1,2,1,1,2,4,1,1,1,2,
%U 1,1,1,4,1,1,2,2,1,1,1,3,3,1,1,2,1,1,1,2,1,2,1,2,1,1,1,3,1,2,2,4,1,1,1,2,1,1,1,4,1,1,1,3,1,1,1,2,2,1,1,2,2,1,1,2,3
%N Dimension of space of modular forms of weight 1/2, level 4*n and trivial character.
%C We have a(n) = A046951(n) for all n < 125, but a(125)=3 > 2=A046951(125).
%C Also, the first nonzero cusp form of weight 1/2 occurs at level 1728.
%H Antti Karttunen, <a href="/A159631/b159631.txt">Table of n, a(n) for n = 1..1200</a>
%H H. Cohen and J. Oesterle, <a href="http://dx.doi.org/10.1007/BFb0065297">Dimensions des espaces de formes modulaires</a>, Modular Functions of One Variable. VI, Proc. 1976 Bonn conf., Lect. Notes in Math. 627, Springer-Verlag, 1977, pp. 69-78.
%H <a href="http://magma.maths.usyd.edu.au/calc/">MAGMA Calculator</a>.
%o (Magma) [[4*n,Dimension(HalfIntegralWeightForms(4*n,1/2))] : n in [1..125]]
%o (Magma) function a(n) return Dimension( ModularForms( Gamma0(4*n), 1/2)); end function; /* _Michael Somos_, Jun 13 2014 */
%Y Cf. A046951.
%K nonn
%O 1,4
%A _Steven Finch_, Apr 17 2009
%E Data section filled up to 125 terms by _Antti Karttunen_, Jul 23 2017
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