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A263988 Number of (n+1)X(n+1) arrays of permutations of 0..(n+1)^2-1 with each element having index change +-(.,.) 0,0 or 1,2. 1

%I #7 Nov 10 2015 10:40:36

%S 1,4,64,1728,104976,21870000,12656250000,16588800000000,

%T 55662776156160000,524753103350661120000,13063269877417673072640000,

%U 823784380246050405868707840000,135558605263753575626189314498560000

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

%C Diagonal of A263989.

%H R. H. Hardin, <a href="/A263988/b263988.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=4

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

%e ..5.13..0..8..2....5..6..7..1..9....5.13..7..8..9...12.13..7..8..2

%e .17.11.12..6.14...10.11.12.13.14...10.11.19..6.14...10.11..5..6.14

%e .15.23.10.18.19...22.23.17.18.19...22.16.24.18.12...22.16.17.18.19

%e .20.21.22.16.24...20.21.15.16.24...20.21.15.23.17...20.21.15.23.24

%Y Cf. A263989.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 31 2015

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)