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%I #4 Apr 21 2012 19:08:09
%S 1,37,788,12766,175475,2166176,24849643,270933321,2852364142,
%T 29340598142,297602954356,2998618104051,30198209060446,
%U 305533574485078,3119275055324536,32252560067938347,338774895842470322
%N Number of nonnegative integer arrays of length n+7 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 7
%C Column 6 of A211836
%H R. H. Hardin, <a href="/A211834/b211834.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....0....1....1....1....1....1....1....1....1....1....1
%e ..2....2....2....2....2....1....2....2....2....2....2....2....2....2....2....2
%e ..3....3....3....3....3....2....3....3....3....3....3....3....3....3....3....3
%e ..4....4....4....4....4....3....4....1....4....4....4....4....4....4....4....4
%e ..1....5....5....5....1....4....2....4....3....5....5....5....5....0....5....5
%e ..4....6....6....5....5....5....5....5....5....0....6....0....2....5....6....1
%e ..5....2....0....6....6....4....5....2....6....0....3....6....6....6....2....3
%e ..6....7....7....7....7....6....6....6....7....6....7....7....7....7....3....6
%e ..7....7....1....1....3....7....7....7....6....7....0....2....6....7....7....7
%K nonn
%O 1,2
%A _R. H. Hardin_ Apr 21 2012