A101800 a(n)= abs(det[A000166(i+j+1)]), i,j=0...n, is the absolute value of the Hankel determinant of order n+1 of the derangements numbers, cf. A000166.

0, 1, 16, 2160, 4644864, 220962816000, 126311423016960000, 97655159393202733056000000, 2873961139404949958783139840000000000, 5118723340142578530942677236206891171840000000000

Offset

0,3

Comments

a(n) = abs(product( (p!)^2,p=0..n )*(n+1)!*LaguerreL(n+1,0,1)), n=0,1..., where LaguerreL(n,lambda,x) are generalized Laguerre polynomial.

Links

Table of n, a(n) for n=0..9.

Formula

a(n) = abs(A055209(n)*A009940(n+1)). [corrected by Vaclav Kotesovec, Feb 25 2019]

Crossrefs

Cf. A000166, A055209, A009940, A101799.

Sequence in context: A086804 A317450 A121366 * A208148 A265593 A345275

Adjacent sequences: A101797 A101798 A101799 * A101801 A101802 A101803

Keyword

nonn

Author

Karol A. Penson, Dec 17 2004

Status

approved