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A202988 T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor 8

%I #5 Mar 31 2012 12:36:54

%S 1,1,1,1,9,1,1,63,63,1,1,323,1233,323,1,1,1629,16854,16854,1629,1,1,

%T 8534,239196,595202,239196,8534,1,1,44885,3557168,21925060,21925060,

%U 3557168,44885,1,1,234728,52328419,838636921,2075667829,838636921,52328419

%N T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Table starts

%C .1......1.........1.............1................1...................1

%C .1......9........63...........323.............1629................8534

%C .1.....63......1233.........16854...........239196.............3557168

%C .1....323.....16854........595202.........21925060...........838636921

%C .1...1629....239196......21925060.......2075667829........206497187067

%C .1...8534...3557168.....838636921.....206497187067......54374200726981

%C .1..44885..52328419...31806596079...20459663726506...14227778139316647

%C .1.234728.764541713.1202034287472.2017022464973722.3693790499807299502

%H R. H. Hardin, <a href="/A202988/b202988.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for n=4 k=3

%e ..1..0..2....0..1..1....0..1..1....1..1..1....0..0..0....1..1..1....1..1..2

%e ..1..2..2....2..2..2....2..2..1....0..0..2....0..2..2....2..2..2....2..2..2

%e ..2..2..2....0..2..2....2..2..2....0..2..2....0..2..2....0..2..2....2..2..2

%e ..1..1..0....0..0..0....2..2..2....1..2..2....2..2..2....0..0..2....0..0..2

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Dec 26 2011

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)