A322223 - OEIS

%I #7 Jan 10 2019 23:03:55

%S 1,2,7,68,1117,26022,852643,37427720,2106596217,148028405834,

%T 12710764939903,1309245626288204,159319271183808085,

%U 22612933245438028526,3702622309608031404187,692759321578889405126160,146876961591424085658564081,35029014636353492196570693778,9336082505393098752275403472375,2764539510981894584911330813369940

%N Row sums of triangle A322220.

%H Paul D. Hanna, <a href="/A322223/b322223.txt">Table of n, a(n) for n = 0..49</a>

%o (PARI) {A322220(n, k) = my(Sx=x, Sy=y, Cx=1, Cy=1); for(i=1, 2*n,

%o Sx = intformal( Cx*Cy +x*O(x^(2*n)), x);

%o Cx = 1 + intformal( Sx*Cy, x);

%o Sy = intformal( Cy*Cx +y*O(y^(2*k)), y);

%o Cy = 1 + intformal( Sy*Cx, y));

%o (2*n+1-2*k)!*(2*k)! *polcoeff(polcoeff(Sx, 2*n+1-2*k, x), 2*k, y)}

%o a(n) = sum(k=0, n, A322220(n, k))

%o for(n=0, 20, print1(a(n), ", "))

%Y Cf. A322220.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Jan 01 2019