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Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.
1

%I #4 Nov 27 2015 07:33:02

%S 0,20,228,2348,22400,207424,1946752,18265856,171168256,1602206720,

%T 14987712512,140201013248,1311499247616,12268128616448,

%U 114758535184384,1073466206519296,10041325376634880,93927687502692352,878609985428783104

%N Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

%C Column 6 of A264878.

%H R. H. Hardin, <a href="/A264876/b264876.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e .14..2..3..4.18..6.20...14..2..3..4..5..6.20...14..2..3..4..5..6.20

%e ..8..0..1..9.25.13..5....8..0..1.11.10.13.12....8..0..1.11.25.13.12

%e .28..7.15.16.10.11.12...28..7.17..9.32.18.34...15..7.30..9.10.18.34

%e .22.21.24.23.17.27.19...22.23.15.16.26.27.19...22.21.24.16.17.27.19

%e .29.30.31.32.33.34.26...29.21.31.30.24.25.33...29.28.31.23.33.32.26

%Y Cf. A264878.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 27 2015