A069135 a(n) = (n!*(n+1)!)^2.

1, 4, 144, 20736, 8294400, 7464960000, 13168189440000, 41295442083840000, 214075571762626560000, 1734012131277275136000000, 20981546788455029145600000000, 365582471242040427832934400000000, 8896815020146295851742291558400000000, 294698100727325903793111665580441600000000

Offset: 0

Author

Rebecca Gladu (rgladu(AT)eve.assumption.edu), Apr 07 2002

Keywords

• nonn

Crossrefs

Cf. A010790, A071951.

Programs

Mathematica

Table[(n!(n + 1)!)^2, {n, 1, 10}]

PARI

a(n) = (n!*(n+1)!)^2; \\ Michel Marcus, Jan 15 2023

Formula

a(n) = det(PS(i+2,j), 1 <= i,j <= n), where PS(n,k) are Legendre-Stirling numbers of the second kind (A071951) [Mircea Merca, Apr 04 2013]

a(n) = A010790(n)^2. - Michel Marcus, Jan 15 2023

Extensions

Edited and extended by Robert G. Wilson v, Apr 08 2002

More terms from Michel Marcus, Jan 15 2023