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Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 5 consecutive elements totalling n or more
1

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

%S 1,2,4,11,30,87,326,1384,6412,32253,175410,1018513,6293033,41087200,

%T 283470860,2066593574,15747134967,125214779885,1039530874036,

%U 8970143588253,80678526525259,749250973396318,7210243966377770

%N Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 5 consecutive elements totalling n or more

%H R. H. Hardin, <a href="/A193060/b193060.txt">Table of n, a(n) for n = 1..41</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....1....1....0....1....1....1....1....1....1....0....1....1....1....1....1

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jul 15 2011