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A296115 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 3 or 4 king-move neighboring 1s. 8
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 8, 9, 9, 8, 1, 1, 17, 26, 16, 26, 17, 1, 1, 31, 74, 64, 64, 74, 31, 1, 1, 71, 163, 185, 503, 185, 163, 71, 1, 1, 166, 535, 528, 2800, 2800, 528, 535, 166, 1, 1, 365, 1735, 2109, 14057, 29003, 14057, 2109, 1735, 365, 1, 1, 856, 4960 (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...2....3....4......8.......17........31..........71...........166

.1...3....6....9.....26.......74.......163.........535..........1735

.1...4....9...16.....64......185.......528........2109..........7336

.1...8...26...64....503.....2800.....14057......106920........726414

.1..17...74..185...2800....29003....197661.....2401049......28504534

.1..31..163..528..14057...197661...1993970....34228975.....553395326

.1..71..535.2109.106920..2401049..34228975..1061506422...28707285600

.1.166.1735.7336.726414.28504534.553395326.28707285600.1365762093736

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical for column k:

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

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

k=3: [order 11]

k=4: [order 27]

k=5: [order 89]

EXAMPLE

Some solutions for n=6 k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A034328 A034253 A203952 * A118687 A281587 A026022

Adjacent sequences:  A296112 A296113 A296114 * A296116 A296117 A296118

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 04 2017

STATUS

approved

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Last modified May 23 11:05 EDT 2019. Contains 323513 sequences. (Running on oeis4.)