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A223389 Number of (n+2)X2 0..2 arrays with all rows having a nonnegative second derivative, and all 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 #4 Mar 19 2013 17:51:52

%S 121,961,11025,116964,1089936,9979281,94770225,801003204,7591462641,

%T 69950728324,621964090609,5519172901264,51216422599225,

%U 457387771663876,4124085740712025,37288268087703616,334946028515357961

%N Number of (n+2)X2 0..2 arrays with all rows having a nonnegative second derivative, and all 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 2 of A223391

%H R. H. Hardin, <a href="/A223389/b223389.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=1

%e ..2..2....1..2....0..1....2..0....2..2....1..2....2..0....1..0....2..2....1..2

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

%e ..1..2....2..2....1..2....1..2....0..2....1..1....0..1....2..1....0..1....0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013

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Last modified April 18 11:52 EDT 2024. Contains 371779 sequences. (Running on oeis4.)