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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. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 07 2013
STATUS
approved

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Last modified February 22 20:12 EST 2024. Contains 370261 sequences. (Running on oeis4.)