A222862 Table read by antidiagonals: T(n,k) is the number of n X k 0..1 arrays with every row and column least squares fitting to a nonnegative-slope straight line, with a single point array taken as having zero slope.

2, 3, 3, 6, 6, 6, 10, 18, 18, 10, 20, 41, 108, 41, 20, 36, 123, 410, 410, 123, 36, 74, 310, 2460, 2262, 2460, 310, 74, 137, 957, 11160, 22620, 22620, 11160, 957, 137, 282, 2530, 70818, 156436, 452400, 156436, 70818, 2530, 282, 536, 7848, 346610, 1672630

Offset: 1

Author

R. H. Hardin, Mar 07 2013

Keywords

• nonn
• tabl

Comments

Table starts

2, 3, 6, 10, 20, 36, ...

3, 6, 18, 41, 123, 310, ...

6, 18, 108, 410, 2460, 11160, ...

10, 41, 410, 2262, 22620, 156436, ...

20, 123, 2460, 22620, 452400, 5631696, ...

36, 310, 11160, 156436, 5631696, 113936464, ...

74, 957, 70818, 1672630, 123774620, 4591340316, ...

137, 2530, 346610, 12777951, 1750579287, 108296570876, ...

282, 7848, 2213136, 137893630, 38886003660, 4422968648712, ...

536, 21618, 11587248, 1149894920, 616343677120, 119741989131520, ...

1100, 67131, 73844100, 12404839040, 13645322944000, ...

2117, 188835, 399763695, 108106327001, ...

Examples

			Some solutions for n=3, k=4:
  0 0 0 0    0 0 0 1    0 1 1 1    0 0 0 0    0 0 1 0
  0 0 1 0    0 1 1 1    0 1 1 1    0 1 0 1    0 1 0 1
  0 1 1 1    0 0 0 1    0 1 1 1    0 1 1 1    0 0 1 1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..127