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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 1,0.
1

%I #8 Nov 10 2015 11:38:03

%S 9,96,1024,7328,52441,422505,3404025,26420400,205062400,1610785200,

%T 12652875225,99005135055,774686906569,6069420974096,47551947307264,

%U 372398730656880,2916406634175225,22842723404402325,178915383889049025

%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 1,0.

%C Row 2 of A264207.

%H R. H. Hardin, <a href="/A264208/b264208.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A264208/a264208.txt">Empirical recurrence of order 92</a>

%F Empirical recurrence of order 92 (see link above)

%e Some solutions for n=4

%e ..0..1..7..3..9....0..3..2..8..4....0..3..2..1..9....0..3..2..1..4

%e .10..6..2..8..4....5..1..7..6..9....5.11..7.13..4....5..6.12.13..9

%e ..5.11.12.13.14...12.11.10.13.14...10..6.12..8.14...10.11..7..8.14

%Y Cf. A264207.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2015