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%I
%S 1,2,4,13,43,179,754,3752,18910,107947,626797,4007984,26177428,
%T 184572504,1333510143,10251720776,80925610461,672581036971,
%U 5745786626079,51276472540865,470474128209758,4483074757033617,43904371855787890
%N Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 2 consecutive elements totalling n or more
%H R. H. Hardin, <a href="/A193057/b193057.txt">Table of n, a(n) for n = 1..200</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....1....1....1....1....1....0....0....1....1....1....0....1....1
%e ..2....2....2....1....2....2....2....0....0....1....2....2....1....1....1....2
%e ..3....3....2....1....2....3....1....0....1....2....3....0....0....1....0....2
%e ..1....2....1....0....2....1....1....2....0....3....3....3....0....0....2....1
%e ..3....2....1....1....1....1....0....1....2....1....4....0....0....1....1....3
%e ..4....3....2....2....2....1....0....3....1....3....0....3....1....1....3....0
%e ..1....4....3....0....1....3....1....3....0....0....4....0....1....0....0....3
%K nonn
%O 1,2
%A _R. H. Hardin_ Jul 15 2011
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