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A211844 Number of nonnegative integer arrays of length n+7 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 4.

%I A211844 #6 Jun 02 2025 07:49:30
%S A211844 1,9,56,286,1302,5486,21897,84003,312864,1139408,4079404,14417732,
%T A211844 50465519,175400683,606660198,2091805472,7201476498,24786314450,
%U A211844 85384391951,294672813537,1019666296658,3540327824374,12341347668900
%N A211844 Number of nonnegative integer arrays of length n+7 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 4.
%C A211844 Column 3 of A211849
%H A211844 R. H. Hardin, <a href="/A211844/b211844.txt">Table of n, a(n) for n = 1..210</a>
%e A211844 Some solutions for n=3
%e A211844 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A211844 ..1....1....1....1....0....0....1....1....1....1....0....1....1....1....1....0
%e A211844 ..0....1....1....1....1....1....1....1....1....1....0....1....0....0....1....1
%e A211844 ..0....2....2....2....1....1....2....2....2....2....1....2....0....0....2....1
%e A211844 ..2....1....2....2....2....2....2....1....2....2....1....2....2....2....2....2
%e A211844 ..2....1....3....3....2....2....0....1....3....2....2....3....2....0....2....2
%e A211844 ..3....3....3....2....3....3....0....3....2....3....2....3....3....0....3....3
%e A211844 ..3....3....4....2....3....3....3....3....2....2....3....4....3....3....3....3
%e A211844 ..4....3....4....2....4....4....3....4....4....2....3....4....3....3....3....3
%e A211844 ..4....4....0....4....4....3....4....3....2....4....4....4....4....4....4....4
%K A211844 nonn
%O A211844 1,2
%A A211844 _R. H. Hardin_ Apr 22 2012