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

%I A328031 #8 Oct 02 2019 22:39:47
%S A328031 1,1,3,18,172,2343,42439,976050,27583338,934173632,37180409223,
%T A328031 1711870023666,90007747560742,5346164992890599,355442084718552178,
%U A328031 26244000000000000000,2137205155719002036203,190811368062993357765186,18577775646585813239195436,1963166636163973976912956096
%N A328031 Upper bound for the determinant of an n X n matrix whose entries are a permutation of the multiset {1^n,...,n^n}.
%H A328031 Markus Sigg, <a href="https://arxiv.org/abs/1804.02897">Gasper's determinant theorem, revisited</a>, arXiv:1804.02897 [math.CO], 2018.
%F A328031 a(n) = floor(n^n*((n+1)/2)*((n+1)/12)^((n-1)/2)) (Corollary 3 in M. Sigg's article).
%o A328031 (PARI) for(n=1,20,print1(floor(n^n*((n+1)/2)*((n+1)/12)^((n-1)/2)),", "))
%Y A328031 Cf. A301371, A309985, A328030.
%K A328031 nonn,easy
%O A328031 0,3
%A A328031 _Hugo Pfoertner_, Oct 02 2019