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Number of length n 0..2 arrays with new values introduced in order from both ends, and least squares fitting to a straight line with slope zero, with a single point taken as having zero slope
1

%I #4 Aug 04 2014 07:24:53

%S 1,1,2,2,5,5,14,16,65,77,356,448,2279,2959,15572,20762,111641,151205,

%T 824798,1131376,6239399,8640935,48063692,67082670,375759443,527790821,

%U 2973583640,4198991910,23773324409,33722329677,191725694792,273021483730

%N Number of length n 0..2 arrays with new values introduced in order from both ends, and least squares fitting to a straight line with slope zero, with a single point taken as having zero slope

%C Column 2 of A245851

%H R. H. Hardin, <a href="/A245845/b245845.txt">Table of n, a(n) for n = 1..121</a>

%e Some solutions for n=12

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_, Aug 04 2014