A222971 - OEIS

A222971

Number of 3 X (n+1) 0..1 arrays with every row least squares fitting to a positive-slope straight line and every column least squares fitting to a zero- or positive-slope straight line, with a single point array taken as having zero slope.

%I #12 Dec 04 2021 08:34:35

%S 1,6,96,576,5180,28836,222887,1241310,8712264,48837168,328280478,

%T 1854039060,12126536066,69047705664,443482507552,2544063717888,

%U 16136462307440,93109093464048,585311170019020,3393940344415872

%N Number of 3 X (n+1) 0..1 arrays with every row least squares fitting to a positive-slope straight line and every column least squares fitting to a zero- or positive-slope straight line, with a single point array taken as having zero slope.

%H R. H. Hardin, <a href="/A222971/b222971.txt">Table of n, a(n) for n = 1..24</a>

%e Some solutions for n=3:

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

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

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

%Y Row 3 of A222969.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 10 2013