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%I #4 Nov 25 2016 07:43:14
%S 0,0,0,0,0,0,0,24,24,0,6,1076,3626,1076,6,77,19893,210616,210616,
%T 19893,77,504,235446,6920404,20667190,6920404,235446,504,2304,2080575,
%U 159247403,1386399220,1386399220,159247403,2080575,2304,8350,14836233
%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 three mistakes.
%C Table starts
%C .....0.........0.............0.................0......................6
%C .....0.........0............24..............1076..................19893
%C .....0........24..........3626............210616................6920404
%C .....0......1076........210616..........20667190.............1386399220
%C .....6.....19893.......6920404........1386399220...........208991393214
%C ....77....235446.....159247403.......71471902148.........25885621037640
%C ...504...2080575....2864009499.....3014441325194.......2738085955639984
%C ..2304..14836233...42845787540...108332967120296.....253197559557136896
%C ..8350..89504692..554117433244..3414333388975884...20837244744657222577
%C .25653.471646066.6355099136464.96390462710001643.1548877617380719532356
%H R. H. Hardin, <a href="/A278656/b278656.txt">Table of n, a(n) for n = 1..127</a>
%e Some solutions for n=3 k=4
%e ..0..2..0..1. .0..2..1..0. .0..1..1..2. .0..1..0..1. .1..2..0..0
%e ..2..0..2..1. .0..1..0..0. .0..2..0..0. .2..2..2..2. .0..2..2..0
%e ..0..0..0..0. .0..0..1..1. .0..1..0..0. .2..2..0..2. .0..0..1..0
%Y Column 1 is A278365.
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_, Nov 25 2016