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%I #4 Mar 18 2013 05:46:48
%S 3,9,9,16,81,16,50,256,256,50,138,2500,1138,2500,138,387,19044,20016,
%T 20016,19044,387,1143,149769,252544,1133664,252544,149769,1143,3402,
%U 1306449,3407893,41164952,41164952,3407893,1306449,3402,9948,11573604
%N T(n,k)=Number of nXk 0..2 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative
%C Table starts
%C .....3.........9..........16............50............138.............387
%C .....9........81.........256..........2500..........19044..........149769
%C ....16.......256........1138.........20016.........252544.........3407893
%C ....50......2500.......20016.......1133664.......41164952......1615611339
%C ...138.....19044......252544......41164952.....3815358480....386807892609
%C ...387....149769.....3407893....1615611339...386807892609.103879396217927
%C ..1143...1306449....52906752...76015542500.49198404222036
%C ..3402..11573604...807057750.3621550793604
%C ..9948..98962704.12038960562
%C .30747.945378009
%C .90018
%H R. H. Hardin, <a href="/A223195/b223195.txt">Table of n, a(n) for n = 1..69</a>
%e Some solutions for n=3 k=4
%e ..1..0..0..2....1..1..0..1....1..1..0..0....1..2..1..2....1..0..1..1
%e ..1..0..1..0....0..0..1..1....1..0..0..0....0..1..0..1....1..1..0..0
%e ..1..1..2..2....2..2..2..2....2..1..0..1....0..0..0..2....2..2..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 18 2013
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