A165344 Second series of Hankel determinants based on A001044(n+1)=((n+1)!)^2 : a(n)=det(A001044(i+j-1))=det(((i+j-1)!)^2), i,j=1,2...n. Hankel transform of A001044(n+1).

1, 20, 75456, 222049714176, 1446859308630697574400, 47680530046593302430474043392000000, 15747911603441625571224989926437024694272000000000000

Offset

0,2

Comments

It would be highly desirable to obtain a closed form for a(n).

Links

Table of n, a(n) for n=0..6.

Mathematica

nmax = 10; Table[Det[Table[((i+j-1)!)^2, {i, 1, k}, {j, 1, k}]], {k, 1, nmax}] (* Vaclav Kotesovec, Feb 24 2019 *)

Crossrefs

Sequence in context: A159370 A129039 A129038 * A348646 A222745 A175853

Adjacent sequences: A165341 A165342 A165343 * A165345 A165346 A165347

Keyword

nonn

Author

Karol A. Penson, Sep 15 2009

Status

approved