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Number of 8 X n array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally.
1

%I #7 Dec 26 2023 19:08:28

%S 1,23409,9648721,39401919001,74192202677913,211788908613601649,

%T 517069529154777840681,1369385680210307625221600,

%U 3514075326766461571852637721,9167946522672764796730050799825

%N Number of 8 X n array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally.

%C Row 8 of A189650.

%H R. H. Hardin, <a href="/A189656/b189656.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for 8 X 3

%e ..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2

%e ..4..3..5....4..3..5....4..3..5....4..3..5....4..3..5....4..3..5....4..3..5

%e ..6..8.10....6..8..7....7..6.10....7..6..8....7..6..8....6..8..7....6..8..7

%e ..7..9.11....9.11.10....9..8.11...13..9.11...10..9.11....9.14.10....9.11.13

%e .12.17.14...16.12.14...12.15.13...10.17.14...16.12.14...12.11.16...10.12.14

%e .15.18.13...15.20.13...19.14.17...15.12.19...15.18.13...13.20.17...15.16.17

%e .16.19.20...18.17.19...16.18.20...18.20.16...22.17.20...18.15.19...19.20.22

%e .22.21.23...22.21.23...21.23.22...22.21.23...21.23.19...21.22.23...21.18.23

%Y Cf. A189650.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 24 2011