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A298963 T(n,k)=Number of nXk 0..1 arrays with every element equal to 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 6
0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 3, 2, 2, 3, 0, 0, 5, 3, 7, 3, 5, 0, 0, 8, 5, 14, 14, 5, 8, 0, 0, 13, 8, 34, 31, 34, 8, 13, 0, 0, 21, 13, 75, 91, 91, 75, 13, 21, 0, 0, 34, 21, 174, 230, 360, 230, 174, 21, 34, 0, 0, 55, 34, 396, 633, 1144, 1144, 633, 396, 34, 55, 0, 0, 89, 55 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

.0..0..0...0....0.....0.....0......0.......0........0.........0.........0

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

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

.0..2..2...7...14....34....75....174.....396......907......2070......4734

.0..3..3..14...31....91...230....633....1685.....4552.....12185.....32765

.0..5..5..34...91...360..1144...4062...13794....47972....164529....567553

.0..8..8..75..230..1144..4263..18517...75262...317141...1307739...5446889

.0.13.13.174..633..4062.18517.101720..514070..2720154..14017132..73173545

.0.21.21.396.1685.13794.75262.514070.3172536.20741504.130945779.840773447

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)

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

k=3: a(n) = a(n-1) +a(n-2)

k=4: a(n) = 2*a(n-1) +a(n-3) +2*a(n-4) -2*a(n-5)

k=5: [order 11]

k=6: [order 30]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Columns 2 and 3 are A000045(n-1).

Sequence in context: A298167 A298957 A298902 * A180760 A233270 A241291

Adjacent sequences:  A298960 A298961 A298962 * A298964 A298965 A298966

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 30 2018

STATUS

approved

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Last modified August 10 16:24 EDT 2022. Contains 356039 sequences. (Running on oeis4.)