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%I #21 May 02 2023 13:11:30
%S -1,13,31,49,67,85,103,121,139,157,175,193,211,229,247,265,283,301,
%T 319,337,355,373,391,409,427,445,463,481,499,517,535,553,571,589,607,
%U 625,643,661,679,697,715,733,751,769,787,805,823,841,859,877
%N Dimension of the space S_n^{new}(Gamma_1(32)) of weight n cuspidal newforms for Gamma_1( 32 ).
%C Conjecture: a(n) = 18n - 41 for n > 2. - Peter Luschny, Mar 04 2012
%H William A. Stein, <a href="http://wstein.org/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a>
%H William A. Stein, <a href="http://wstein.org/Tables/tables.html">The modular forms database</a>
%F a(n) = 2*a(n-1)-a(n-2) for n>4. G.f.: x^2*(-1+15*x+4*x^2)/(1-x)^2. [_Colin Barker_, Sep 28 2012]
%K sign
%O 2,2
%A _N. J. A. Sloane_, Jul 14 2001
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