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A232062 Number of nX5 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal 1

%I #4 Nov 17 2013 13:56:10

%S 10,66,410,2230,13538,75462,457234,2561258,15454594,86936482,

%T 522543518,2950310558,17671662754,100103295530,597736686594,

%U 3395879611978,20221409303002,115182855491730,684186672548350,3906272828605434

%N Number of nX5 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal

%C Column 5 of A232065

%H R. H. Hardin, <a href="/A232062/b232062.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +30*a(n-2) -47*a(n-3) +39*a(n-4) -191*a(n-5) +159*a(n-6) -134*a(n-7) +378*a(n-8) -242*a(n-9) +203*a(n-10) -439*a(n-11) +179*a(n-12) -147*a(n-13) +281*a(n-14) -62*a(n-15) +49*a(n-16) -87*a(n-17) +8*a(n-18) -6*a(n-19) +10*a(n-20) for n>22

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2013

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Last modified April 18 11:48 EDT 2024. Contains 371779 sequences. (Running on oeis4.)