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 A220977 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array 8

%I

%S 1,2,2,4,2,4,8,9,9,8,16,23,94,23,16,32,58,368,368,58,32,64,149,1455,

%T 1972,1455,149,64,128,379,6291,12033,12033,6291,379,128,256,969,26299,

%U 79554,106532,79554,26299,969,256,512,2472,110743,503607,1053857,1053857

%N T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array

%C Table starts

%C ....1.....2........4.........8.........16..........32..........64.........128

%C ....2.....2........9........23.........58.........149.........379.........969

%C ....4.....9.......94.......368.......1455........6291.......26299......110743

%C ....8....23......368......1972......12033.......79554......503607.....3213597

%C ...16....58.....1455.....12033.....106532.....1053857.....9937412....94991698

%C ...32...149.....6291.....79554....1053857....15607340...220508636..3153338130

%C ...64...379....26299....503607....9937412...220508636..4659594557.99770514013

%C ..128...969...110743...3213597...94991698..3153338130.99770514013

%C ..256..2472...467422..20509600..904380131.44990020782

%C ..512..6304..1977507.131200351.8640101337

%C .1024.16057..8372888.838727086

%C .2048.40876.35432404

%H R. H. Hardin, <a href="/A220977/b220977.txt">Table of n, a(n) for n = 1..111</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A000079(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 27 2012

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Last modified January 20 15:17 EST 2022. Contains 350472 sequences. (Running on oeis4.)