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Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 6 consecutive elements totalling n or more
1

%I #5 Mar 31 2012 12:36:21

%S 1,2,4,11,30,87,273,1060,4629,22118,114675,637508,3764980,23493473,

%T 154648476,1074598386,7847796726,59999039043,478914675838,

%U 3978488873259,34374954527318,308440229973719,2865860328108722,27538413740887632

%N Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 6 consecutive elements totalling n or more

%H R. H. Hardin, <a href="/A193061/b193061.txt">Table of n, a(n) for n = 1..32</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 ..0....0....1....1....0....0....0....0....0....1....0....0....0....0....0....0

%e ..0....1....2....2....1....1....1....0....1....2....1....0....1....0....1....1

%e ..1....1....0....0....1....0....0....1....0....1....2....0....1....0....1....2

%e ..0....0....1....0....0....2....1....2....0....2....0....1....1....0....0....0

%e ..0....2....0....3....1....0....1....0....0....1....1....2....1....1....2....0

%e ..2....3....1....1....1....1....1....0....1....0....1....2....2....1....1....0

%e ..3....0....2....0....1....3....0....2....2....0....0....0....1....0....1....1

%K nonn

%O 1,2

%A _R. H. Hardin_ Jul 15 2011