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Number of (n+2)X(2+2) arrays of permutations of 0..n*4+7 filled by rows with each element moved 0 or 1 knight moves, and rows and columns in increasing lexicographic order.
1

%I #6 Nov 10 2015 12:33:31

%S 40,606,8783,135933,2222154,36482594,597854055,9871552803,

%T 163131172868,2693232362730,44459353882426,734216744614975,

%U 12125829937309705,200247240702667641,3306824333319457287,54608938288288875708

%N Number of (n+2)X(2+2) arrays of permutations of 0..n*4+7 filled by rows with each element moved 0 or 1 knight moves, and rows and columns in increasing lexicographic order.

%C Column 2 of A263955.

%H R. H. Hardin, <a href="/A263953/b263953.txt">Table of n, a(n) for n = 1..159</a>

%e Some solutions for n=4

%e ..0..1..2..5....0..1..2..3....0..1..4..5....0..1..2..5....0..1..4..5

%e ..4.14.15..7....4.11.15..7....2.14..8..9....4.14..8..9....2..3.15..7

%e ..6..9..3.11....8..9.10..5....6.15..3.18....6..7..3.13....8..9.12.11

%e .10.20..8.22...12.13.23..6...12.19..7.22...10.11.21.22...10.19.14..6

%e .16.17.12.21...16.17.18.19...16.23.11.10...16.23.20.19...16.23.18.13

%e .18.19.13.23...20.21.22.14...20.21.13.17...18.12.15.17...20.21.22.17

%Y Cf. A263955.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 30 2015