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Number of arrays of length 3 that are sums of n consecutive elements of length 3+n-1 permutations of 0..3+n-2, and no two consecutive rises or falls in the latter permutation.
0

%I #10 May 15 2023 15:41:29

%S 4,6,28,76,256,374,948,1024,2264,2166,4396,3912

%N Number of arrays of length 3 that are sums of n consecutive elements of length 3+n-1 permutations of 0..3+n-2, and no two consecutive rises or falls in the latter permutation.

%C Row 3 of A229717.

%e Some solutions for n=4:

%e 10 12 10 8 9 8 10 8 8 8 9 10 10 10 13 7

%e 8 9 11 11 11 7 7 12 11 10 11 11 13 12 10 10

%e 9 7 9 14 10 10 8 14 13 11 12 10 12 11 8 12

%Y Cf. A229717.

%K nonn,more

%O 1,1

%A _R. H. Hardin_, Sep 27 2013