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A298660 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 6
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, 85, 85, 34, 95, 13, 21, 177, 63, 173, 177, 173, 63, 177, 21, 34, 359, 96, 322, 431, 431, 322, 96, 359, 34, 55, 705, 147, 635, 876, 1116, 876, 635, 147, 705, 55, 89, 1351 (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

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

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

..2..13..19...40...85...173...322....635....1325....2806.....5877.....12293

..3..23..23...85..177...431...876...2137....5002...11687....27591.....64253

..5..49..34..173..431..1116..2562...6711...17405...48462...125671....334571

..8..95..63..322..876..2562..7964..24801...74358..242072...745571...2349275

.13.177..96..635.2137..6711.24801..89543..322065.1213296..4468276..16453935

.21.359.147.1325.5002.17405.74358.322065.1367704.6098314.26543249.116098205

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A297852.

Column 3 is A298050.

Sequence in context: A298093 A298055 A298888 * A299612 A297959 A298775

Adjacent sequences:  A298657 A298658 A298659 * A298661 A298662 A298663

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 24 2018

STATUS

approved

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Last modified February 19 13:20 EST 2020. Contains 332044 sequences. (Running on oeis4.)