A222856 -id:A222856 - cp's OEIS frontend

A223309 T(n,k)=Number of nX(k+1) 0..2 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.

3, 9, 6, 36, 36, 18, 102, 340, 324, 41, 343, 1914, 12240, 1845, 123, 996, 13850, 195228, 221346, 17343, 310, 3159, 79266, 4750550, 8514450, 8909352, 119660, 957, 9237, 523133, 78948936, 576481773, 1004831988, 221358126, 1139787, 2530, 28755

Offset: 1

R. H. Hardin Mar 19 2013

Table starts
....3.......9.........36.........102..........343............996..........3159
....6......36........340........1914........13850..........79266........523133
...18.....324......12240......195228......4750550.......78948936....1652577147
...41....1845.....221346.....8514450....576481773....23314034430.1290079956663
..123...17343....8909352..1004831988.241636868781.29530598586528
..310..119660..221358126.65367672572
..957.1139787.8788947912
.2530.8607060
.7848

			Some solutions for n=3 k=4
..2..0..0..1..2....0..0..1..0..1....0..0..0..0..1....0..0..0..0..1
..1..2..2..2..2....0..1..1..1..2....1..0..1..2..1....0..0..0..1..1
..2..0..1..1..2....1..0..2..0..2....0..1..1..2..1....0..1..0..1..2

R. H. Hardin, Table of n, a(n) for n = 1..50

Column 1 is A222856

Row 2 is A222925

cp's OEIS Frontend

A223309 T(n,k)=Number of nX(k+1) 0..2 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.

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