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A298888 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 5
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, 123, 141, 63, 177, 21, 34, 359, 96, 240, 243, 243, 240, 96, 359, 34, 55, 705, 147, 428, 444, 516, 444, 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..123..243..444...897..1801..3462...6669..13291...25762...49483

..5..49..34.141..243..516..814..1646..3312..6565..13040..25941...51679..103895

..8..95..63.240..444..814.1818..3663..7496.16544..33596..70466..148451..311053

.13.177..96.428..897.1646.3663..7768.17225.39617..83996.184024..411042..903972

.21.359.147.779.1801.3312.7496.17225.41048.95996.221358.505218.1183870.2737277

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312

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=7 k=5

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A297852.

Column 3 is A298050.

Column 4 is A298051.

Sequence in context: A297858 A298093 A298055 * A298660 A299612 A297959

Adjacent sequences:  A298885 A298886 A298887 * A298889 A298890 A298891

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 28 2018

STATUS

approved

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Last modified January 26 07:38 EST 2022. Contains 350577 sequences. (Running on oeis4.)