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A222847 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every row and column least squares fitting to a positive slope straight line 5

%I #4 Mar 07 2013 07:06:10

%S 1,3,3,16,27,16,48,576,576,48,185,4896,67986,4896,185,534,63455,

%T 2088576,2088576,63455,534,1873,531864,121707070,176032212,121707070,

%U 531864,1873,5397,5916807,3904508304,32109350238,32109350238,3904508304,5916807,5397

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every row and column least squares fitting to a positive slope straight line

%C Table starts

%C ....1.......3.........16..........48.........185...........534.........1873

%C ....3......27........576........4896.......63455........531864......5916807

%C ...16.....576......67986.....2088576...121707070....3904508304.179900642006

%C ...48....4896....2088576...176032212.32109350238.2840442492432

%C ..185...63455..121707070.32109350238

%C ..534..531864.3904508304

%C .1873.5916807

%C .5397

%H R. H. Hardin, <a href="/A222847/b222847.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 07 2013

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Last modified July 25 23:06 EDT 2024. Contains 374615 sequences. (Running on oeis4.)