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A278860 First series of Hankel determinants based on hyperfactorial. 3

%I #9 Nov 29 2016 22:41:02

%S 1,1,92,7207016256,22448940392028699561050505216,

%T 462177945344267713413229252637478222244311831261385379020800000

%N First series of Hankel determinants based on hyperfactorial.

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

%p a:= n-> LinearAlgebra[Determinant](Matrix(n, (i, j)->

%p (t-> mul(k^k, k=0..t))(i+j-1))):

%p seq(a(n), n=0..6); # _Alois P. Heinz_, Nov 29 2016

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

%Y Cf. A002109, A277829, A278770.

%K nonn

%O 0,3

%A _Karol A. Penson_, Nov 29 2016

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)