Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #6 Oct 01 2021 16:38:57
%S 1,15,149,1173,7996,49210,280751,1510267,7752966,38313584,183476493,
%T 855810005,3904023943,17474944971,76959615336,334220597220,
%U 1434013918092,6088757186340,25619291046722,106954200571650,443491592171780
%N Number of nonnegative integer arrays of length n+13 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 7.
%C Column 6 of A211849.
%H R. H. Hardin, <a href="/A211847/b211847.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....1....1....1....1....1....1....1....0....1....0....1....1....1....1
%e ..1....1....1....1....1....1....1....0....1....1....0....1....1....1....0....1
%e ..2....1....2....2....2....2....2....0....2....1....0....1....2....2....0....2
%e ..2....2....2....2....2....2....2....2....2....1....2....2....2....2....2....2
%e ..3....2....3....3....3....3....3....2....3....2....2....2....3....3....2....3
%e ..2....3....3....3....3....3....3....3....3....2....2....3....3....2....3....3
%e ..3....3....4....4....3....3....4....3....4....3....3....3....4....2....3....4
%e ..3....4....4....4....4....3....4....4....4....3....3....4....4....4....4....3
%e ..4....4....5....4....4....4....1....4....4....4....4....4....5....4....4....4
%e ..4....5....5....5....5....4....1....4....5....4....4....4....4....5....5....4
%e ..5....5....3....5....5....5....5....5....5....5....5....5....4....5....5....5
%e ..5....5....3....5....6....5....5....5....6....5....5....5....6....6....6....5
%e ..6....6....6....6....6....6....6....6....6....6....6....6....6....5....6....6
%e ..6....6....6....6....6....6....6....6....6....6....6....6....7....5....7....6
%e ..7....7....7....7....7....7....7....7....7....7....7....7....6....7....6....7
%Y Cf. A211849.
%K nonn
%O 1,2
%A _R. H. Hardin_ Apr 22 2012