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A298902 T(n,k)=Number of nXk 0..1 arrays with every element equal to 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 3, 2, 2, 3, 0, 0, 5, 3, 4, 3, 5, 0, 0, 8, 7, 10, 10, 7, 8, 0, 0, 13, 12, 24, 32, 24, 12, 13, 0, 0, 21, 25, 56, 120, 120, 56, 25, 21, 0, 0, 34, 47, 142, 471, 963, 471, 142, 47, 34, 0, 0, 55, 96, 346, 2070, 4689, 4689, 2070, 346, 96, 55, 0, 0 (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..1..1...2....3......5.......8........13.........21...........34

.0..1..1...2....3......7......12........25.........47...........96

.0..2..2...4...10.....24......56.......142........346..........874

.0..3..3..10...32....120.....471......2070.......9055........39809

.0..5..7..24..120....963....4689.....34739.....206363......1388386

.0..8.12..56..471...4689...44186....522001....5379458.....62969638

.0.13.25.142.2070..34739..522001...9994726..165198014...3059725754

.0.21.47.346.9055.206363.5379458.165198014.4485120457.138682695325

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

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

k=4: [order 16]

k=5: [order 61]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A000045(n-1).

Sequence in context: A098356 A298167 A298957 * A298963 A180760 A233270

Adjacent sequences:  A298899 A298900 A298901 * A298903 A298904 A298905

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 28 2018

STATUS

approved

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Last modified August 13 10:40 EDT 2022. Contains 356080 sequences. (Running on oeis4.)