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%I #7 Apr 27 2021 21:13:35
%S 1,12,96,304,4416,38520,302400,3540672,39595392,461376000
%N Number of arrays of length n that are sums of 3 consecutive elements of length n+2 permutations of 0..n+1.
%C Column 3 of A229565.
%e Some solutions for n=3:
%e 5 5 3 5 8 7 8 9 6 5 6 3 5 5 8 8
%e 3 6 6 6 6 5 9 7 7 8 9 5 8 7 5 6
%e 5 8 8 9 3 3 6 4 4 9 8 8 6 8 3 5
%Y Cf. A229565.
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 26 2013