%I #4 Apr 21 2012 19:18:08
%S 3199,14862,62617,231046,748964,2166176,5684153,13733643,30929368,
%T 65577913,131970633,253759834,468794569,835883075,1444053107,
%U 2425000145,3969547605,6349093720,9943187617,15274563246,23053165162,34230925666
%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 n+1
%C Row 6 of A211836
%H R. H. Hardin, <a href="/A211840/b211840.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/3840)*n^10 + (23/2304)*n^9 + (197/1152)*n^8 + (9899/5760)*n^7 + (14451/1280)*n^6 + (594979/11520)*n^5 + (8279/48)*n^4 + (138637/320)*n^3 + (583243/720)*n^2 + (62003/60)*n + 685
%e Some solutions for n=3
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....1....1....1....1....1....1....1....1....1....1....1....0....0....1....1
%e ..1....2....2....0....2....0....2....2....2....0....2....2....1....1....2....2
%e ..2....3....1....0....3....2....3....3....3....0....0....1....2....2....2....3
%e ..3....3....3....2....3....3....4....4....4....2....3....1....3....3....3....4
%e ..4....4....4....3....4....0....2....4....2....2....4....2....4....4....4....4
%e ..2....1....4....4....4....0....4....5....4....3....5....3....2....3....4....2
%e ..3....5....5....0....0....4....5....4....5....4....4....4....0....1....2....3
%e ..0....5....0....0....2....0....5....4....3....5....5....3....4....0....2....1
%e ..3....0....3....2....1....2....0....0....2....4....6....5....2....2....1....4
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 21 2012