A322224 Row sums of triangle A322221.

1, 1, 3, 21, 263, 5113, 143323, 5469469, 272621231, 17198531585, 1339483576579, 126230212270629, 14156618029163607, 1863256491324487945, 284412058373417063979, 49835992042915293448749, 9935494230180289986374655, 2236083847858473337146482449, 564194375066091341842030512979, 158608695106487347874486537531701

Offset

0,3

Links

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

Prog

(PARI)  {A322221(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-2*k)!*(2*k)! *polcoeff(polcoeff(Cx, 2*n-2*k, x), 2*k, y)}
a(n) = sum(k=0, n, A322221(n, k))
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A322221.

Sequence in context: A251573 A265002 A012131 * A221094 A098278 A269938

Adjacent sequences: A322221 A322222 A322223 * A322225 A322226 A322227

Keyword

nonn

Author

Paul D. Hanna, Jan 01 2019

Status

approved