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Number of (n+1) X (7+1) arrays of permutations of 0..n*8+7 with each element having directed index change -1,0 0,2 -1,-2 or 1,0.
1

%I #6 Jan 27 2022 21:42:54

%S 9,16,2116,44521,1525225,43731769,1250046736,36412654041,

%T 1023636039001,29395568245824,828988131959716,23599139118132769,

%U 667319223491080281,18929485248132797584,535857588485957276361,15182115680784904368400

%N Number of (n+1) X (7+1) arrays of permutations of 0..n*8+7 with each element having directed index change -1,0 0,2 -1,-2 or 1,0.

%C Column 7 of A264520.

%H R. H. Hardin, <a href="/A264519/b264519.txt">Table of n, a(n) for n = 1..129</a>

%e Some solutions for n=4

%e .10..9..0.13.14..3..4.15....8.11..0..1.12..3.14..5....8..9.10.11..2.13..4..5

%e .18..1..2.19.22..5..6..7...18.17..2.19..4.21..6..7....0..1.18..3.22.23..6..7

%e ..8.27.26.11.12.29.20.21...26..9.10.27.30.13.20.15...26.27.28.29.12.31.14.15

%e .16.17.34.37.36.39.38.23...16.35.34.37.38.39.22.23...16.17.36.19.20.21.38.39

%e .24.25.32.33.28.35.30.31...24.25.32.33.28.29.36.31...24.25.32.33.34.35.30.37

%Y Cf. A264520.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 16 2015