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%I #12 Sep 02 2013 13:02:00
%S 3,9,27,77,185,447,1071,2593,6333,15513,38039,93213,228279,558849,
%T 1367945,3348489,8196847,20065943,49122291,120253773,294386457,
%U 720668887,1764221329,4318870217,10572732933,25882394413,63360952825,155109705901
%N Number of arrays of the median of three adjacent elements of some length n+2 0..2 array.
%H R. H. Hardin, <a href="/A228734/b228734.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -a(n-2) -2*a(n-3) +a(n-4) +5*a(n-5) -2*a(n-6) +a(n-7) +a(n-9) +a(n-10) -2*a(n-12) -a(n-13) +a(n-14)
%e Some solutions for n=4
%e ..1..1..2..0..1..2..1..0..2..1..0..2..0..0..0..1
%e ..2..2..1..2..2..1..0..2..2..2..0..1..2..2..1..0
%e ..1..0..2..0..1..2..0..1..1..1..0..0..2..1..0..1
%e ..1..0..0..0..2..2..0..1..1..0..2..1..1..2..0..2
%Y Column 2 of A228740.
%K nonn
%O 1,1
%A _R. H. Hardin_ Sep 01 2013
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