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A370961 a(n) = number of acyclic orientations of the complete tripartite graph K_{n,n,n}.

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%I A370961 #33 May 02 2024 17:20:25
%S A370961 1,6,426,122190,90768378,138779942046,379578822373866,
%T A370961 1689637343582548590,11434884125767376107098,
%U A370961 111765072808554847704145086,1515592947854931941485836600906,27609710924806869786487193747541390,658043992934027491354757341987635993018
%N A370961 a(n) = number of acyclic orientations of the complete tripartite graph K_{n,n,n}.
%H A370961 Alois P. Heinz, <a href="/A370961/b370961.txt">Table of n, a(n) for n = 0..155</a> (terms n = 1..16 from Don Knuth)
%H A370961 Don Knuth, <a href="http://cs.stanford.edu/~knuth/papers/poly-Bernoulli.pdf">Parades and poly-Bernoulli bijections</a>, Mar 31 2024. See (19.2).
%F A370961 a(n) = A266858(3n) = A267383(3n,3). - _Alois P. Heinz_, Apr 17 2024
%F A370961 a(n) = Sum_{k=0..3n} (-1)^k * A212220(n,k). - _Alois P. Heinz_, May 02 2024
%Y A370961 Cf. A212220, A266858, A267383, A370960.
%Y A370961 Main diagonal of A372254.
%Y A370961 Row n=3 of A372326.
%K A370961 nonn
%O A370961 0,2
%A A370961 _N. J. A. Sloane_, Apr 04 2024
%E A370961 More terms from _Don Knuth_, Apr 07 2024
%E A370961 a(0)=1 prepended by _Alois P. Heinz_, Apr 17 2024