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%I #4 Nov 24 2016 10:23:31
%S 0,0,0,1,13,1,15,285,285,15,90,3354,10824,3354,90,357,27521,234484,
%T 234484,27521,357,1107,175881,3739008,10776210,3739008,175881,1107,
%U 2907,932205,48592635,387551595,387551595,48592635,932205,2907,6765,4266912
%N T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.
%C Table starts
%C ....0.......0..........1............15................90..................357
%C ....0......13........285..........3354.............27521...............175881
%C ....1.....285......10824........234484...........3739008.............48592635
%C ...15....3354.....234484......10776210.........387551595..........11719632199
%C ...90...27521....3739008.....387551595.......33967584488........2593097277036
%C ..357..175881...48592635...11719632199.....2593097277036......521528860552802
%C .1107..932205..541463431..309971214338...175644502146694....94782697883923436
%C .2907.4266912.5325263364.7350438329498.10734760074025367.15624069731088285787
%H R. H. Hardin, <a href="/A278634/b278634.txt">Table of n, a(n) for n = 1..127</a>
%F Empirical for column k:
%F k=1: [polynomial of degree 8]
%F k=2: [polynomial of degree 24]
%F k=3: [polynomial of degree 70]
%e Some solutions for n=3 k=4
%e ..0..1..2..1. .0..2..1..0. .0..1..2..2. .1..0..0..1. .0..2..0..2
%e ..1..0..0..0. .2..2..2..1. .1..0..2..2. .0..2..1..0. .2..0..0..0
%e ..2..1..0..0. .2..0..1..2. .1..2..1..0. .2..2..2..2. .2..2..2..1
%Y Column 1 is A005716(n+1).
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Nov 24 2016
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