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%I #13 Aug 02 2015 14:58:57
%S 0,0,1,4,22,124,706,3968,21880,118192,625776,3251744,16610072,
%T 83537520,414288080,2028760544,9822006896,47063458528,223408338400,
%U 1051514839104,4910856580376,22772597352944,104914684398352,480457417780320,2188115766353616,9914318477830304,44708936142838816
%N Expansion of x^2*((1 - 12*x + 50*x^2 - 76*x^3 + 42*x^4 - 48*x^5 + 32*x^6)/(1 - 4*x)^4 + 4*x^2/(1 - 4*x)^(5/2)).
%H I. G. Enting and A. J. Guttmann, <a href="http://dx.doi.org/10.1088/0305-4470/22/14/013">Area-weighted moments of convex polygons on the square lattice</a>, J. Phys. A 22 (1989), 2639-2642. See Eq. (4).
%F G.f.: x^2*((1 - 12*x + 50*x^2 - 76*x^3 + 42*x^4 - 48*x^5 + 32*x^6)/(1 - 4*x)^4 + 4*x^2/(1 - 4*x)^(5/2)).
%p t1:=x^2*( (1-12*x+50*x^2-76*x^3+42*x^4-48*x^5+32*x^6)/(1-4*x)^4 + 4*x^2/(1-4*x)^(5/2));
%p series(t1,x,40);
%p seriestolist(%);
%Y Cf. A005436.
%K nonn
%O 0,4
%A _N. J. A. Sloane_, Aug 02 2015
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