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Number of (2+1)X(n+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 0,2 or 1,1.
1

%I #6 Nov 10 2015 11:27:25

%S 4,40,441,2745,21025,167464,1336336,10277652,80568576,631845004,

%T 4952218384,38731564472,303450044769,2376946740975,18616368579561,

%U 145790870490104,1141923459200164,8943885706383975,70049807131516081

%N Number of (2+1)X(n+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 0,2 or 1,1.

%C Row 2 of A264110.

%H R. H. Hardin, <a href="/A264112/b264112.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..2..3..0..1..4....2..3..0..1..4....0..1..4..3..2....6..1..2..9..4

%e .11..6..7..8..9....5..8..7..6..9....5..6..7..8..9....5..0.13.14..3

%e .10..5.12.13.14...10.13.12.11.14...12.11.10.13.14...12.11.10..7..8

%Y Cf. A264110.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 03 2015