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A298055 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 3, 1, 2, 7, 7, 2, 3, 13, 15, 13, 3, 5, 23, 19, 19, 23, 5, 8, 49, 23, 40, 23, 49, 8, 13, 95, 34, 73, 73, 34, 95, 13, 21, 177, 63, 141, 121, 141, 63, 177, 21, 34, 359, 96, 240, 231, 231, 240, 96, 359, 34, 55, 705, 147, 428, 422, 512, 422, 428, 147, 705, 55, 89, 1351, 233 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0...1...1...2....3....5....8....13....21....34.....55.....89....144.....233

..1...3...7..13...23...49...95...177...359...705...1351...2689...5303...10321

..1...7..15..19...23...34...63....96...147...233....368....588....933....1500

..2..13..19..40...73..141..240...428...779..1531...2989...5729..10760...20205

..3..23..23..73..121..231..422...865..1729..3286...6319..12563..24164...46151

..5..49..34.141..231..512..780..1577..3162..6228..12289..24231..47917...95955

..8..95..63.240..422..780.1708..3362..6794.14943..29523..61474.128150..264417

.13.177..96.428..865.1577.3362..7014.15247.34464..71665.153171.337793..727538

.21.359.147.779.1729.3162.6794.15247.35804.81453.182350.407843.937627.2114521

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..337

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2)

k=2: a(n) = 3*a(n-1) -2*a(n-2) +4*a(n-3) -10*a(n-4) +4*a(n-5) for n>6

k=3: [order 18] for n>19

k=4: [order 72] for n>73

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A297852.

Sequence in context: A084602 A297858 A298093 * A298888 A298660 A299612

Adjacent sequences:  A298052 A298053 A298054 * A298056 A298057 A298058

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 11 2018

STATUS

approved

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Last modified November 19 06:34 EST 2019. Contains 329310 sequences. (Running on oeis4.)