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A189606 Number of nX5 array permutations with each element not moving, or moving one space E, S or NW.

%I A189606 #7 Jul 22 2025 11:50:07
%S A189606 1,28,256,2853,30283,321815,3414588,36212912,383990913,4071436782,
%T A189606 43168209556,457694879893,4852734814404,51451313282657,
%U A189606 545514314383676,5783833141059232,61323273361025444,650181923557415105
%N A189606 Number of nX5 array permutations with each element not moving, or moving one space E, S or NW.
%C A189606 Column 5 of A189610
%H A189606 R. H. Hardin, <a href="/A189606/b189606.txt">Table of n, a(n) for n = 1..200</a>
%F A189606 Empirical: a(n) = 13*a(n-1) -13*a(n-2) -128*a(n-3) -146*a(n-4) +1071*a(n-5) +769*a(n-6) -749*a(n-7) -2673*a(n-8) +3566*a(n-9) -13757*a(n-10) +7250*a(n-11) -4937*a(n-12) -1246*a(n-13) +3164*a(n-14) +189*a(n-15) -984*a(n-16) +566*a(n-17) +329*a(n-18) -189*a(n-19) +54*a(n-20) +27*a(n-21) for n>22
%e A189606 Some solutions for 3X5
%e A189606 ..6..0..2..3..4....0..7..8..2..3....0..7..2..3..4....0..1..2..3..4
%e A189606 .11..1..7.14..9....5..1.13.14..4....5..1.13.14..8...11..5..7..8..9
%e A189606 ..5.10.12..8.13...10..6.11.12..9...10..6.11.12..9...10..6.12.13.14
%K A189606 nonn
%O A189606 1,2
%A A189606 _R. H. Hardin_ Apr 24 2011