cp's OEIS Frontend

A189446 Number of nX6 array permutations with each element moving zero or one space horizontally or diagonally.

%I A189446 #7 Jul 22 2025 11:45:29
%S A189446 13,841,40106,2008890,100047288,4982424404,248187289625,
%T A189446 12362821462925,615823316590381,30675714678416140,1528034812741010509,
%U A189446 76115272823689573050,3791493955944999761482,188863888740455537178552
%N A189446 Number of nX6 array permutations with each element moving zero or one space horizontally or diagonally.
%C A189446 Column 6 of A189449
%H A189446 R. H. Hardin, <a href="/A189446/b189446.txt">Table of n, a(n) for n = 1..200</a>
%F A189446 Empirical: a(n) = 55*a(n-1) -257*a(n-2) -66*a(n-3) -558*a(n-4) +20414*a(n-5) -105459*a(n-6) +187369*a(n-7) -105459*a(n-8) +20414*a(n-9) -558*a(n-10) -66*a(n-11) -257*a(n-12) +55*a(n-13) -a(n-14) for n>15
%e A189446 Some solutions for 3X6
%e A189446 ..0..2..1..4.11..5....1..0..2..3..4..5....0..1..3..2.11..5....1..0..9..2..5..4
%e A189446 ..6..7..9..8..3.10....6..7.15.16.17.11...13.14..7..8.17..4....6.14.15.10..3.11
%e A189446 .12.13.14.15.17.16...12.13.14..8..9.10...12..6.15.16..9.10...12.13..7..8.16.17
%K A189446 nonn
%O A189446 1,1
%A A189446 _R. H. Hardin_ Apr 22 2011