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A218064 T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X k array.

%I A218064 #6 Apr 26 2021 19:18:17
%S A218064 2,2,4,4,6,8,6,18,16,16,10,42,74,42,32,16,108,260,308,110,64,26,268,
%T A218064 1046,1664,1282,288,128,42,676,3974,10246,10566,5338,754,256,68,1694,
%U A218064 15578,60804,99934,66978,22228,1974,512,110,4258,60242,368220,925904,975296
%N A218064 T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X k array.
%C A218064 Table starts
%C A218064 ....2.....2........4..........6...........10..............16................26
%C A218064 ....4.....6.......18.........42..........108.............268...............676
%C A218064 ....8....16.......74........260.........1046............3974.............15578
%C A218064 ...16....42......308.......1664........10246...........60804............368220
%C A218064 ...32...110.....1282......10566........99934..........925904...........8679594
%C A218064 ...64...288.....5338......66978.......975296........14096488.........204211050
%C A218064 ..128...754....22228.....424332......9519284.......214514380........4803404048
%C A218064 ..256..1974....92562....2687866.....92918894......3263893360......112984025006
%C A218064 ..512..5168...385450...17025060....907013406.....49658510202.....2657601417086
%C A218064 .1024.13530..1605108..107835994...8853740672....755518606946....62512388662498
%C A218064 .2048.35422..6684066..683025864..86425318934..11494629017172..1470427119098160
%C A218064 .4096.92736.27834106.4326234664.843636853718.174881679122376.34587669928567490
%H A218064 R. H. Hardin, <a href="/A218064/b218064.txt">Table of n, a(n) for n = 1..262</a>
%e A218064 Some solutions for n=3, k=4
%e A218064 ..1..0..0..0....0..0..1..0....1..1..1..1....0..0..0..0....1..0..0..0
%e A218064 ..1..0..1..0....0..0..0..0....1..1..0..0....1..1..0..0....0..0..0..0
%e A218064 ..0..0..0..0....1..0..0..1....1..0..0..0....0..0..0..0....1..1..0..1
%Y A218064 Column 2 is A025169(n-1).
%Y A218064 Row 1 is A006355(n+1).
%K A218064 nonn,tabl
%O A218064 1,1
%A A218064 _R. H. Hardin_ Oct 19 2012