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A189606 Number of nX5 array permutations with each element not moving, or moving one space E, S or NW 1

%I #5 Mar 31 2012 12:36:16

%S 1,28,256,2853,30283,321815,3414588,36212912,383990913,4071436782,

%T 43168209556,457694879893,4852734814404,51451313282657,

%U 545514314383676,5783833141059232,61323273361025444,650181923557415105

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

%C Column 5 of A189610

%H R. H. Hardin, <a href="/A189606/b189606.txt">Table of n, a(n) for n = 1..200</a>

%F 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 Some solutions for 3X5

%e ..6..0..2..3..4....0..7..8..2..3....0..7..2..3..4....0..1..2..3..4

%e .11..1..7.14..9....5..1.13.14..4....5..1.13.14..8...11..5..7..8..9

%e ..5.10.12..8.13...10..6.11.12..9...10..6.11.12..9...10..6.12.13.14

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 24 2011

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