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

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

Offset

0,2

Links

Table of n, a(n) for n=0..13.

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

Mathematica

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

Prog

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

Crossrefs

Cf. A010790, A071951.

Sequence in context: A084703 A186418 A122747 * A186081 A138176 A203424

Adjacent sequences: A069132 A069133 A069134 * A069136 A069137 A069138

Keyword

nonn

Author

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

Extensions

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

More terms from Michel Marcus, Jan 15 2023

Status

approved