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Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 49 ).
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%I #11 Aug 22 2019 12:18:12

%S 1,8,14,22,28,35,42,49,55,63,69,76,83,90,96,104,110,117,124,131,137,

%T 145,151,158,165,172,178,186,192,199,206,213,219,227,233,240,247,254,

%U 260,268,274,281,288,295,301,309,315,322,329,336

%N Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 49 ).

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0new.gp">Dimensions of the spaces S_k^{new}(Gamma_0(N))</a>

%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,0,-1).

%F a(n) = a(n-2)+a(n-3)-a(n-5). G.f.: x*(1 +8*x +13*x^2 +13*x^3 +6*x^4)/((1 -x)^2*(1 +x)*(1 +x +x^2)). [_Colin Barker_, Sep 27 2012]

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jul 10 2001