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%I #10 Nov 01 2018 06:28:52
%S 21,51,106,211,416,821,1626,3231,6411,12716,25221,50026,99231,196836,
%T 390441,774471,1536226,3047231,6044436,11989641,23782446,47174451,
%U 93574431,185612636,368178041,730311646,1448633651,2873484856,5699795261
%N Number of length n+5+1 0..5 arrays with every value 0..5 appearing at least once in every consecutive 5+2 elements, and new values 0..5 introduced in order.
%H R. H. Hardin, <a href="/A242236/b242236.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6).
%F Empirical g.f.: x*(21 + 30*x + 34*x^2 + 33*x^3 + 27*x^4 + 16*x^5) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6). - _Colin Barker_, Nov 01 2018
%e Some solutions for n=5:
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....1....0....1....1....1....1....1....1....0....1....1....1....1....1
%e ..2....0....0....1....2....2....2....2....2....2....1....2....2....2....0....2
%e ..3....2....2....2....0....0....3....3....3....3....2....0....3....1....2....3
%e ..2....3....3....3....3....3....4....0....4....4....3....3....3....3....3....4
%e ..4....4....4....4....4....4....5....4....1....0....4....4....4....4....4....2
%e ..5....5....5....5....5....5....1....5....5....5....5....5....5....5....5....5
%e ..0....2....1....0....1....2....0....1....0....1....1....1....0....0....0....0
%e ..1....1....0....2....2....1....3....3....2....2....0....0....1....4....1....1
%e ..3....0....0....1....1....0....2....2....3....4....5....2....2....2....5....3
%e ..3....3....2....4....0....5....1....0....2....3....2....5....3....1....2....5
%Y Column 5 of A242239.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 08 2014
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