A116467 - OEIS

%I #3 Mar 30 2012 18:36:55

%S 1,2,2,4,2,4,4,8,18,52,164,544,1852,6416,22520,79888,285938,1031316,

%T 3744628,13676384,50209860,185190400,685888736,2549873880,9511787452,

%U 35592025904,133559834064,502494233128,1895089009088,7162963968712

%N Row squared sums of triangle A114700: a(n) = Sum_{k=0..n} A114700(n,k)^2.

%F 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 (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 Cf. A114700 (triangle), A116466 (unsigned row sums).

%K nonn

%O 0,2

%A _Paul D. Hanna_, Feb 19 2006