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 A223159 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with all rows and columns having a strictly positive second derivative in a quadratic least squares fit 2

%I #4 Mar 16 2013 17:41:04

%S 2218,55790,55790,2077712,5026270,2077712,68181369,765677906,

%T 765677906,68181369,1978616080,102504263355,566068245194,102504263355,

%U 1978616080,57277247088,11137517145396,350946216811545,350946216811545

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with all rows and columns having a strictly positive second derivative in a quadratic least squares fit

%C Table starts

%C ........2218..........55790.........2077712........68181369.....1978616080

%C .......55790........5026270.......765677906....102504263355.11137517145396

%C .....2077712......765677906....566068245194.350946216811545

%C ....68181369...102504263355.350946216811545

%C ..1978616080.11137517145396

%C .57277247088

%H R. H. Hardin, <a href="/A223159/b223159.txt">Table of n, a(n) for n = 1..22</a>

%e Some solutions for n=1 k=4

%e ..1..2..0..0..1..0....1..2..1..0..0..1....1..1..1..0..3..1....1..0..0..0..2..1

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

%e ..2..1..2..1..3..3....2..2..1..3..1..2....3..3..1..1..1..2....3..2..1..2..3..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 16 2013

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Last modified August 10 13:02 EDT 2024. Contains 375056 sequences. (Running on oeis4.)