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%I #10 Dec 04 2021 12:32:31
%S 1,2,1,6,3,1,12,16,6,1,28,48,96,10,1,54,185,576,314,20,1,119,534,5180,
%T 3140,1884,36,1,230,1873,28836,53292,37680,7344,74,1,488,5397,222887,
%U 487830,1492176,264384,46512,137,1,948,17853,1241310,6811479,26342820
%N Table T(n,k) is the number of n X (k+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, read by antidiagonals downward.
%C Table starts
%C 1 2 6 12 28 54 119
%C 1 3 16 48 185 534 1873
%C 1 6 96 576 5180 28836 222887
%C 1 10 314 3140 53292 487830 6811479
%C 1 20 1884 37680 1492176 26342820 810566001
%C 1 36 7344 264384 21852384 677339136 41252032201
%C 1 74 46512 3441888 687269268 41972251734 5815321906009
%C 1 137 199912 27387944 11877013537 1306606331404 370184972397123
%C 1 282 1281096 361269072 379255412732 82298403509112
%C 1 536 6018524 3225928864 7601814965106
%C 1 1100 38837844 42721628400
%C 1 2117 192182076
%H R. H. Hardin, <a href="/A222969/b222969.txt">Table of n, a(n) for n = 1..111</a>
%e Some solutions for n=3, k=4:
%e 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1
%e 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1
%e 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1
%Y Column 2 is A222855.
%Y Row 2 is A222843.
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Mar 10 2013
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