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%I #13 Aug 11 2018 15:42:22
%S 1,2,3,6,11,23,47,103,226,518,1200,2867,6946,17234,43393,111419,
%T 290242,768901,2065172,5630083,15549403,43527487,123343911,353864422,
%U 1026935904,3014535166,8945274505,26829206798,81293234754,248805520401,768882019073
%N Number of nonnegative integer arrays of length n+2*2-2 with new values introduced in order 0 upwards and every value appearing only in runs of at least 2
%C Column 2 of A211700
%H R. H. Hardin, <a href="/A211694/b211694.txt">Table of n, a(n) for n = 1..210</a>
%F G.f.: 1/x/W(0)-1/x, where W(k) = 1 - x - x^2/(1 - x^2*(k+1)/W(k+1) ); (continued fraction). - _Sergei N. Gladkovskii_, Nov 10 2014
%e All solutions for n=5
%e ..0....0....0....0....0....0....0....0....0....0....0
%e ..0....0....0....0....0....0....0....0....0....0....0
%e ..0....0....1....0....1....0....0....0....1....1....1
%e ..1....1....1....1....1....0....0....0....1....1....1
%e ..1....1....2....1....1....0....1....0....0....1....1
%e ..2....1....2....0....2....0....1....1....0....1....0
%e ..2....1....2....0....2....0....1....1....0....1....0
%e G.f. = x + 2*x^2 + 3*x^3 + 6*x^4 + 11*x^5 + 23*x^6 + 47*x^7 + 103*x^8 + ...
%Y Cf. A160823.
%K nonn
%O 1,2
%A _R. H. Hardin_, Apr 19 2012
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