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%I #7 Dec 03 2021 18:48:41
%S 2,3,3,6,6,6,10,18,18,10,20,41,108,41,20,36,123,410,410,123,36,74,310,
%T 2460,2262,2460,310,74,137,957,11160,22620,22620,11160,957,137,282,
%U 2530,70818,156436,452400,156436,70818,2530,282,536,7848,346610,1672630
%N 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.
%C Table starts
%C 2, 3, 6, 10, 20, 36, ...
%C 3, 6, 18, 41, 123, 310, ...
%C 6, 18, 108, 410, 2460, 11160, ...
%C 10, 41, 410, 2262, 22620, 156436, ...
%C 20, 123, 2460, 22620, 452400, 5631696, ...
%C 36, 310, 11160, 156436, 5631696, 113936464, ...
%C 74, 957, 70818, 1672630, 123774620, 4591340316, ...
%C 137, 2530, 346610, 12777951, 1750579287, 108296570876, ...
%C 282, 7848, 2213136, 137893630, 38886003660, 4422968648712, ...
%C 536, 21618, 11587248, 1149894920, 616343677120, 119741989131520, ...
%C 1100, 67131, 73844100, 12404839040, 13645322944000, ...
%C 2117, 188835, 399763695, 108106327001, ...
%H R. H. Hardin, <a href="/A222862/b222862.txt">Table of n, a(n) for n = 1..127</a>
%e Some solutions for n=3, k=4:
%e 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 0
%e 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1
%e 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 0 0 1 1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Mar 07 2013
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