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A202421 T(n,k) = Number of (n+2) X (k+2) binary arrays with no more than one of any consecutive three bits set in any row or column. 9
34, 94, 94, 265, 356, 265, 739, 1369, 1369, 739, 2059, 5167, 7209, 5167, 2059, 5746, 19569, 37029, 37029, 19569, 5746, 16033, 74358, 190951, 259651, 190951, 74358, 16033, 44728, 281925, 989393, 1823347, 1823347, 989393, 281925, 44728, 124786 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts:

.....34.......94.......265.........739..........2059...........5746

.....94......356......1369........5167.........19569..........74358

....265.....1369......7209.......37029........190951.........989393

....739.....5167.....37029......259651.......1823347.......12853815

...2059....19569....190951.....1823347......17439289......167404087

...5746....74358....989393....12853815.....167404087.....2189182446

..16033...281925...5113271....90488829....1604558949....28571620269

..44728..1068716..26412799...636713695...15374009433...372754291904

.124786..4054318.136555683..4482191171..147377939501..4866369236348

.348145.15377537.705913811.31552566393.1412697193745.63523989811355

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

EXAMPLE

Some solutions for n=4, k=3:

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

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

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

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

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

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

CROSSREFS

Sequence in context: A282811 A185460 A260467 * A202414 A160062 A247218

Adjacent sequences:  A202418 A202419 A202420 * A202422 A202423 A202424

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2011

STATUS

approved

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Last modified March 31 16:44 EDT 2020. Contains 333151 sequences. (Running on oeis4.)