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Number of nonnegative integer arrays of length n+2*4-2 with new values introduced in order 0 upwards and every value appearing only in runs of at least 4.
1

%I #6 May 12 2023 15:32:13

%S 1,2,3,4,5,8,13,20,29,45,73,118,185,294,480,793,1298,2127,3531,5932,

%T 9975,16783,28415,48527,83236,143064,246839,428430,747193,1307145,

%U 2294023,4043525,7158170,12715501,22656789,40512977,72713331,130948115,236535554

%N Number of nonnegative integer arrays of length n+2*4-2 with new values introduced in order 0 upwards and every value appearing only in runs of at least 4.

%C Column 4 of A211700.

%H R. H. Hardin, <a href="/A211696/b211696.txt">Table of n, a(n) for n = 1..210</a>

%e All solutions for n=5

%e ..0....0....0....0....0

%e ..0....0....0....0....0

%e ..0....0....0....0....0

%e ..0....0....0....0....0

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

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

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

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

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

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

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

%Y Cf. A211700.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 19 2012