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%I A116467 #3 Mar 30 2012 18:36:55
%S A116467 1,2,2,4,2,4,4,8,18,52,164,544,1852,6416,22520,79888,285938,1031316,
%T A116467 3744628,13676384,50209860,185190400,685888736,2549873880,9511787452,
%U A116467 35592025904,133559834064,502494233128,1895089009088,7162963968712
%N A116467 Row squared sums of triangle A114700: a(n) = Sum_{k=0..n} A114700(n,k)^2.
%F A116467 G.f.: A(x) = 2*(1-6*x+2*x^2+6*x^3+3*x^4)/(2-10*x-x^2)/(1-x)^2 + x*(2+x)*(1-4*x)/(2-10*x-x^2)/2*deriv(A(x)).
%o A116467 (PARI) {a(n)=sum(k=0,n,polcoeff(polcoeff(1/(1-x*y)+ x*(1+x-2*x^2*y)/(1-x)/(1+x+x*y+x*O(x^n)+y*O(y^k))/(1-x*y),n,x),k,y)^2)}
%Y A116467 Cf. A114700 (triangle), A116466 (unsigned row sums).
%K A116467 nonn
%O A116467 0,2
%A A116467 _Paul D. Hanna_, Feb 19 2006

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