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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. 13

%I #6 Apr 26 2021 19:18:17

%S 2,2,4,4,6,8,6,18,16,16,10,42,74,42,32,16,108,260,308,110,64,26,268,

%T 1046,1664,1282,288,128,42,676,3974,10246,10566,5338,754,256,68,1694,

%U 15578,60804,99934,66978,22228,1974,512,110,4258,60242,368220,925904,975296

%N 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 Table starts

%C ....2.....2........4..........6...........10..............16................26

%C ....4.....6.......18.........42..........108.............268...............676

%C ....8....16.......74........260.........1046............3974.............15578

%C ...16....42......308.......1664........10246...........60804............368220

%C ...32...110.....1282......10566........99934..........925904...........8679594

%C ...64...288.....5338......66978.......975296........14096488.........204211050

%C ..128...754....22228.....424332......9519284.......214514380........4803404048

%C ..256..1974....92562....2687866.....92918894......3263893360......112984025006

%C ..512..5168...385450...17025060....907013406.....49658510202.....2657601417086

%C .1024.13530..1605108..107835994...8853740672....755518606946....62512388662498

%C .2048.35422..6684066..683025864..86425318934..11494629017172..1470427119098160

%C .4096.92736.27834106.4326234664.843636853718.174881679122376.34587669928567490

%H R. H. Hardin, <a href="/A218064/b218064.txt">Table of n, a(n) for n = 1..262</a>

%e Some solutions for n=3, k=4

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

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

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

%Y Column 2 is A025169(n-1).

%Y Row 1 is A006355(n+1).

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Oct 19 2012

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Last modified August 19 20:56 EDT 2024. Contains 375310 sequences. (Running on oeis4.)