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A189447 Number of n X 7 array permutations with each element moving zero or one space horizontally or diagonally.

%I A189447 #7 Oct 01 2021 17:42:47
%S A189447 21,3136,313136,33735505,3586575040,381987110556,40668908306516,
%T A189447 4329976369716644,461007230769131204,49082883213353553796,
%U A189447 5225795314666113134276,556384119909347581932164
%N A189447 Number of n X 7 array permutations with each element moving zero or one space horizontally or diagonally.
%C A189447 Column 7 of A189449.
%H A189447 R. H. Hardin, <a href="/A189447/b189447.txt">Table of n, a(n) for n = 1..200</a>
%F A189447 Empirical: a(n) = 119*a(n-1) -1238*a(n-2) -11504*a(n-3) +132848*a(n-4) +180912*a(n-5) -203520*a(n-6) +1542400*a(n-7) +2403200*a(n-8) -768000*a(n-9) +640000*a(n-10) for n>14.
%e A189447 Some solutions for 3 X 7
%e A189447 ..0..1..3..4.12..6..5....0..2..1..3..4.13..6....0..2..1..3..4.13..6
%e A189447 ..7..9..8..2.10.20.13....7..8..9.10.11.12..5....7..8..9.10.11.12..5
%e A189447 .15.14.16.17.18.11.19...15.14.16.18.17.20.19...14.15.16.17.18.19.20
%Y A189447 Cf. A189449.
%K A189447 nonn
%O A189447 1,1
%A A189447 _R. H. Hardin_ Apr 22 2011