A328031 Upper bound for the determinant of an n X n matrix whose entries are a permutation of the multiset {1^n,...,n^n}.

1, 1, 3, 18, 172, 2343, 42439, 976050, 27583338, 934173632, 37180409223, 1711870023666, 90007747560742, 5346164992890599, 355442084718552178, 26244000000000000000, 2137205155719002036203, 190811368062993357765186, 18577775646585813239195436, 1963166636163973976912956096

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Markus Sigg, Gasper's determinant theorem, revisited, arXiv:1804.02897 [math.CO], 2018.

Formula

a(n) = floor(n^n*((n+1)/2)*((n+1)/12)^((n-1)/2)) (Corollary 3 in M. Sigg's article).

Prog

(PARI) for(n=1, 20, print1(floor(n^n*((n+1)/2)*((n+1)/12)^((n-1)/2)), ", "))

Crossrefs

Cf. A301371, A309985, A328030.

Sequence in context: A193098 A322771 A177447 * A005192 A365600 A080687

Adjacent sequences: A328028 A328029 A328030 * A328032 A328033 A328034

Keyword

nonn,easy

Author

Hugo Pfoertner, Oct 02 2019

Status

approved