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

%I #4 Nov 10 2015 15:00:49

%S 1,1252,40692,1308629,68815948,2943284092,126311779972,5624085093712,

%T 246768571746441,10829936933432708,476292923791748201,

%U 20916681831526205985,918103119293113999349,40284306184645115520403

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

%C Row 7 of A264285.

%H R. H. Hardin, <a href="/A264291/b264291.txt">Table of n, a(n) for n = 1..53</a>

%e Some solutions for n=3

%e ..0..1..2..3....0..7..1..2....6..7..1..2....0..7..1..3....6..1..2..3

%e ..4.11..6..7....4.11..6..3....0.11..5..3....4..5..2..6....0..4..5..7

%e ..8..5..9.10....8..5..9.10....4..8..9.10...14..9.10.11....8.15..9.10

%e .12.19.13.14...18.12.13.14...12.19.13.14....8.12.13.15...18.12.14.11

%e .16.23.18.15...16.23.17.15...22.16.17.15...16.23.17.18...16.13.17.19

%e .20.17.21.22...20.21.22.19...20.21.18.23...20.21.22.19...20.21.22.23

%e .24.31.25.27...24.25.26.27...24.31.25.27...30.24.26.27...24.31.26.27

%e .28.29.26.30...28.29.30.31...28.29.26.30...28.25.29.31...28.25.29.30

%Y Cf. A264285.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 10 2015