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 A208314 T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors 7

%I

%S 1,2,2,4,6,4,8,18,18,8,16,54,78,54,16,32,162,336,336,162,32,64,486,

%T 1446,2052,1446,486,64,128,1458,6222,12474,12474,6222,1458,128,256,

%U 4374,26772,75744,106488,75744,26772,4374,256,512,13122,115194,459810,906120,906120

%N T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors

%C Table starts

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

%C ...2....6.....18......54......162........486........1458.........4374

%C ...4...18.....78.....336.....1446.......6222.......26772.......115194

%C ...8...54....336....2052....12474......75744......459810......2791152

%C ..16..162...1446...12474...106488.....906120.....7702668.....65459016

%C ..32..486...6222...75744...906120...10771434...127750122...1513877040

%C ..64.1458..26772..459810..7702668..127750122..2110085532..34794255294

%C .128.4374.115194.2791152.65459016.1513877040.34794255294.797446347192

%H R. H. Hardin, <a href="/A208314/b208314.txt">Table of n, a(n) for n = 1..612</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 2 is A008776(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 25 2012

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Last modified January 23 15:21 EST 2022. Contains 350514 sequences. (Running on oeis4.)