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A245844 Number of length n 0..n 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.

%I A245844 #7 Jul 23 2025 11:29:36
%S A245844 1,1,2,2,5,5,15,17,78,102,569,919,6143,11171,86082,175170,1500089,
%T A245844 3364343,31536051,77010521,782091916,2060257730,22485413587,
%U A245844 63440153687,739249776945,2220625119939,27479009460738,87449057712710
%N A245844 Number of length n 0..n 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 A245844 Diagonal of A245851
%H A245844 R. H. Hardin, <a href="/A245844/b245844.txt">Table of n, a(n) for n = 1..41</a>
%e A245844 Some solutions for n=10
%e A245844 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A245844 ..1....0....1....1....1....1....0....0....1....1....1....1....1....0....1....0
%e A245844 ..1....0....2....1....2....0....1....1....2....2....0....0....2....1....2....1
%e A245844 ..0....1....0....0....1....2....2....2....0....3....1....2....0....1....3....1
%e A245844 ..2....2....1....1....3....1....1....3....0....0....0....1....0....0....1....2
%e A245844 ..1....2....0....0....0....2....0....2....0....0....0....1....2....0....1....2
%e A245844 ..2....1....2....2....2....0....0....0....0....3....1....2....1....1....3....1
%e A245844 ..0....0....1....0....2....1....1....1....2....2....0....0....1....1....2....1
%e A245844 ..1....0....1....1....1....1....1....1....1....1....1....1....1....0....1....0
%e A245844 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%K A245844 nonn
%O A245844 1,3
%A A245844 _R. H. Hardin_, Aug 04 2014