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A185835 T(n,k)=Half the number of nXk binary arrays with every element equal to exactly one or two of its horizontal and vertical neighbors 9
0, 1, 1, 1, 3, 1, 2, 10, 10, 2, 3, 23, 30, 23, 3, 5, 61, 118, 118, 61, 5, 8, 162, 393, 514, 393, 162, 8, 13, 421, 1430, 2398, 2398, 1430, 421, 13, 21, 1103, 5004, 11789, 15782, 11789, 5004, 1103, 21, 34, 2890, 17877, 54223, 98975, 98975, 54223, 17877, 2890, 34, 55 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0....1......1.......2.........3..........5............8............13

..1....3.....10......23........61........162..........421..........1103

..1...10.....30.....118.......393.......1430.........5004.........17877

..2...23....118.....514......2398......11789........54223........257050

..3...61....393....2398.....15782......98975.......649826.......4143707

..5..162...1430...11789.....98975.....923808......7678409......68363184

..8..421...5004...54223....649826....7678409.....91052720....1073661088

.13.1103..17877..257050...4143707...68363184...1073661088...17200095426

.21.2890..63181.1213538..26679121..593948668..12644950311..278159538826

.34.7563.224324.5716561.171597547.5187350050.149729950026.4418356392225

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

EXAMPLE

Some solutions for 5X4 with a(1,1)=0

..0..0..1..1....0..0..0..1....0..0..1..1....0..0..1..0....0..0..0..0

..1..0..1..1....0..1..0..1....0..1..1..0....0..1..1..0....0..1..1..1

..1..1..0..0....1..1..0..0....1..1..0..0....0..1..0..0....0..1..0..0

..0..0..0..1....1..0..1..0....0..0..1..1....1..0..1..1....0..1..0..0

..1..1..1..1....0..0..1..1....1..1..0..0....1..0..0..1....0..1..1..1

CROSSREFS

Column 1 is A000045(n-1)

Sequence in context: A305097 A316757 A055450 * A301669 A300427 A300689

Adjacent sequences: A185832 A185833 A185834 * A185836 A185837 A185838

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 05 2011

STATUS

approved

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Last modified November 28 05:56 EST 2022. Contains 358407 sequences. (Running on oeis4.)