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 A260346 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)). 1

%I

%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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Last modified December 1 02:46 EST 2021. Contains 349426 sequences. (Running on oeis4.)