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A296039 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2 or 4 king-move neighboring 1s. 8
1, 1, 1, 1, 5, 1, 1, 11, 11, 1, 1, 21, 31, 21, 1, 1, 55, 70, 70, 55, 1, 1, 125, 251, 204, 251, 125, 1, 1, 271, 799, 997, 997, 799, 271, 1, 1, 645, 2266, 4102, 8472, 4102, 2266, 645, 1, 1, 1479, 7005, 15399, 51941, 51941, 15399, 7005, 1479, 1, 1, 3325, 21780, 63267 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1....1.....1......1........1.........1..........1............1.............1

.1....5....11.....21.......55.......125........271..........645..........1479

.1...11....31.....70......251.......799.......2266.........7005.........21780

.1...21....70....204......997......4102......15399........63267........258493

.1...55...251....997.....8472.....51941.....285366......1853852......11570787

.1..125...799...4102....51941....472540....3650122.....33758793.....307234618

.1..271..2266..15399...285366...3650122...39608385....518787061....6686146382

.1..645..7005..63267..1853852..33758793..518787061..10042412853..188033223758

.1.1479.21780.258493.11570787.307234618.6686146382.188033223758.5131681923323

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..240

FORMULA

Empirical for column k:

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

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

k=3: [order 11]

k=4: [order 17]

k=5: [order 55]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A132787 A181370 A119307 * A296974 A146954 A174949

Adjacent sequences:  A296036 A296037 A296038 * A296040 A296041 A296042

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 03 2017

STATUS

approved

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Last modified July 8 00:31 EDT 2020. Contains 335502 sequences. (Running on oeis4.)