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A203338 T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors 8

%I #5 Mar 31 2012 12:36:56

%S 1,1,1,1,6,1,1,36,36,1,1,161,1311,161,1,1,846,27056,27056,846,1,1,

%T 5545,532547,2224079,532547,5545,1,1,35483,12872510,156011082,

%U 156011082,12872510,35483,1,1,216488,327579980,12492984999,40063085907,12492984999

%N T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors

%C Table starts

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

%C .1......6.........36............161................846.................5545

%C .1.....36.......1311..........27056.............532547.............12872510

%C .1....161......27056........2224079..........156011082..........12492984999

%C .1....846.....532547......156011082........40063085907.......11409771585523

%C .1...5545...12872510....12492984999.....11409771585523....11867803667695158

%C .1..35483..327579980..1066362412766...3356615719680977.12521002071185162318

%C .1.216488.8009744714.89890925664626.978786459361069636

%H R. H. Hardin, <a href="/A203338/b203338.txt">Table of n, a(n) for n = 1..83</a>

%e Some solutions for n=4 k=3

%e ..1..4..4....1..5..5....3..3..0....5..5..1....1..1..1....4..4..0....5..5..0

%e ..3..5..5....3..5..5....4..4..4....5..5..1....2..2..1....4..4..1....5..5..3

%e ..3..5..5....3..0..3....4..1..4....3..3..1....2..3..3....5..5..5....3..5..5

%e ..0..0..0....3..3..3....4..4..4....0..1..1....0..3..3....5..5..5....0..5..5

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Dec 31 2011

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Last modified May 10 20:32 EDT 2024. Contains 372388 sequences. (Running on oeis4.)