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A101799 a(n)= det[A000522(i+j+1)], i,j=0...n, is the Hankel determinant of order n+1 of the arrangements numbers, s. A000522; a(n) = product( (p!)^2,p=0..n )*(n+1)!*LaguerreL(n+1,0,-1), n=0,1..., where LaguerreL(n,lambda,x) are generalized Laguerre polynomials; a(n)=A055209(n)*A002720(n+1);. 3
2, 7, 136, 30096, 128231424, 15917683507200, 81063451589345280000, 22675515428700722036736000000, 449302248871829829537656890982400000000, 790103237429135552913731284331032467210240000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

MATHEMATICA

a[n_] := Det[Table[E*Gamma[i+j+2, 1] // FunctionExpand, {i, 0, n}, {j, 0, n}]];

Table[a[n], {n, 0, 9}] (* Jean-Fran├žois Alcover, May 23 2016 *)

CROSSREFS

Cf. A000522, A055209, A002720.

Sequence in context: A286423 A041727 A120379 * A201172 A062617 A207139

Adjacent sequences:  A101796 A101797 A101798 * A101800 A101801 A101802

KEYWORD

nonn

AUTHOR

Karol A. Penson, Dec 16 2004

STATUS

approved

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Last modified August 7 22:44 EDT 2020. Contains 336279 sequences. (Running on oeis4.)