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Number of (n+2)X1 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative
1

%I #5 Mar 25 2013 07:26:48

%S 3,5,13,27,60,119,251,477,1001,2011,4034,7901,16302,32324,64879,

%T 130246,260340,521049,1046933,2077633,4177166,8376165,16722144,

%U 33343800,67054762,133875590,267805425,536072391,1071591827,2143497919,4292483722

%N Number of (n+2)X1 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative

%C Column 1 of A223652

%H R. H. Hardin, <a href="/A223645/b223645.txt">Table of n, a(n) for n = 1..120</a>

%e All solutions for n=3

%e ..0....1....1....0....1....1....1....1....1....1....0....1....1

%e ..0....0....0....0....1....1....1....0....1....0....1....0....0

%e ..0....0....0....0....0....0....0....0....1....1....0....0....1

%e ..1....1....1....0....0....0....1....0....0....1....0....0....0

%e ..1....0....1....1....0....1....1....0....1....1....1....1....1

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 25 2013