A278860 First series of Hankel determinants based on hyperfactorial.

1, 1, 92, 7207016256, 22448940392028699561050505216, 462177945344267713413229252637478222244311831261385379020800000

Offset: 0

Author

Karol A. Penson, Nov 29 2016

Keywords

• nonn

Comments

It would be interesting to know the formula for this sequence.

Crossrefs

Cf. A002109, A277829, A278770.

Programs

Maple

a:= n-> LinearAlgebra[Determinant](Matrix(n, (i, j)->
        (t-> mul(k^k, k=0..t))(i+j-1))):
seq(a(n), n=0..6);  # Alois P. Heinz, Nov 29 2016

Mathematica

Table[Det[Table[Hyperfactorial[i + j - 1], {i, n}, {j, n}]], {n, 7}]