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%I #5 Mar 31 2012 12:36:21
%S 1,2,4,11,30,87,273,884,3528,15794,77546,411280,2330917,13986818,
%T 88229024,584296099,4065067511,29670613826,226603232720,1805007845631,
%U 14960664057034,128832477724303,1150304120201088,10631476589401031
%N Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 7 consecutive elements totalling n or more
%H R. H. Hardin, <a href="/A193062/b193062.txt">Table of n, a(n) for n = 1..28</a>
%e Some solutions for n=8
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....0....1....1....1....0....1....0....1....1....1....0....0....1....0....1
%e ..1....1....2....2....0....0....0....1....2....2....0....1....1....0....1....0
%e ..1....2....1....0....2....0....0....1....1....0....1....0....0....2....2....2
%e ..1....1....0....1....1....1....2....1....1....0....0....0....1....1....0....3
%e ..1....2....0....0....3....2....0....0....0....0....0....2....1....1....0....0
%e ..0....1....3....1....0....1....1....0....0....0....0....0....1....0....0....0
%e ..2....0....0....0....0....3....1....0....2....3....0....3....1....0....0....1
%K nonn
%O 1,2
%A _R. H. Hardin_ Jul 15 2011