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

1,1

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, ...

Links

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

Example

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

Crossrefs

Sequence in context: A212629 A127779 A207634 * A101437 A039856 A301703

Adjacent sequences: A222859 A222860 A222861 * A222863 A222864 A222865

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 07 2013

Status

approved