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A183328 T(n,k)=Number of nXk binary arrays with each 1 adjacent to exactly two other 1s 6
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 6, 10, 10, 6, 1, 1, 9, 19, 27, 19, 9, 1, 1, 13, 37, 72, 72, 37, 13, 1, 1, 19, 69, 179, 289, 179, 69, 19, 1, 1, 28, 129, 447, 996, 996, 447, 129, 28, 1, 1, 41, 244, 1139, 3325, 4740, 3325, 1139, 244, 41, 1, 1, 60, 460, 2912, 11415, 21259 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1..1...1....1......1.......1........1.........1..........1...........1

.1..2...3....4......6.......9.......13........19.........28..........41

.1..3...6...10.....19......37.......69.......129........244.........460

.1..4..10...27.....72.....179......447......1139.......2912........7434

.1..6..19...72....289.....996.....3325.....11415......39720......138689

.1..9..37..179....996....4740....21259.....96524.....443793.....2054180

.1.13..69..447...3325...21259...128371....770542....4639132....28160294

.1.19.129.1139..11415...96524...770542...6115158...48449560...386449543

.1.28.244.2912..39720..443793..4639132..48449560..505971397..5319953708

.1.41.460.7434.138689.2054180.28160294.386449543.5319953708.73890230419

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..391

EXAMPLE

Some solutions for 7X6

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

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

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

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

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

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

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

CROSSREFS

Column 2 is A000930(n+1)

Sequence in context: A008571 A230860 A051137 * A034328 A034253 A203952

Adjacent sequences:  A183325 A183326 A183327 * A183329 A183330 A183331

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 03 2011

STATUS

approved

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Last modified May 19 08:11 EDT 2022. Contains 353826 sequences. (Running on oeis4.)