A322223 Row sums of triangle A322220.

1, 2, 7, 68, 1117, 26022, 852643, 37427720, 2106596217, 148028405834, 12710764939903, 1309245626288204, 159319271183808085, 22612933245438028526, 3702622309608031404187, 692759321578889405126160, 146876961591424085658564081, 35029014636353492196570693778, 9336082505393098752275403472375, 2764539510981894584911330813369940

Offset

0,2

Links

Paul D. Hanna, Table of n, a(n) for n = 0..49

Prog

(PARI) {A322220(n, k) = my(Sx=x, Sy=y, Cx=1, Cy=1); for(i=1, 2*n,
Sx = intformal( Cx*Cy +x*O(x^(2*n)), x);
Cx = 1 + intformal( Sx*Cy, x);
Sy = intformal( Cy*Cx +y*O(y^(2*k)), y);
Cy = 1 + intformal( Sy*Cx, y));
(2*n+1-2*k)!*(2*k)! *polcoeff(polcoeff(Sx, 2*n+1-2*k, x), 2*k, y)}
a(n) = sum(k=0, n, A322220(n, k))
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A322220.

Sequence in context: A307246 A225156 A260968 * A173226 A094223 A217069

Adjacent sequences: A322220 A322221 A322222 * A322224 A322225 A322226

Keyword

nonn

Author

Paul D. Hanna, Jan 01 2019

Status

approved