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%I #4 Mar 20 2013 04:33:29
%S 4,16,16,36,256,36,150,1296,1296,150,558,22500,11254,22500,558,2126,
%T 311364,449810,449810,311364,2126,8480,4519876,13266784,75789786,
%U 13266784,4519876,8480,33639,71910400,417523315,8686866986,8686866986
%N T(n,k)=Number of nXk 0..3 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 ......4..........16...........36.............150..............558
%C .....16.........256.........1296...........22500...........311364
%C .....36........1296........11254..........449810.........13266784
%C ....150.......22500.......449810........75789786.......8686866986
%C ....558......311364.....13266784......8686866986....3454074121430
%C ...2126.....4519876....417523315...1075376609151.1516052461806611
%C ...8480....71910400..14781272688.158639905687500
%C ..33639..1131582321.521262156765
%C .131920.17402886400
%C .540025
%H R. H. Hardin, <a href="/A223406/b223406.txt">Table of n, a(n) for n = 1..58</a>
%e Some solutions for n=3 k=4
%e ..1..0..3..2....1..3..0..3....1..3..0..2....0..0..1..2....0..2..0..2
%e ..1..1..0..1....1..2..0..1....1..0..0..1....1..0..0..0....0..0..1..1
%e ..1..2..0..2....1..1..0..3....3..1..1..1....3..0..2..0....2..0..3..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 20 2013
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