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A295985 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2 or 3 king-move neighboring 1s. 8
1, 1, 1, 1, 6, 1, 1, 15, 15, 1, 1, 28, 44, 28, 1, 1, 90, 110, 110, 90, 1, 1, 281, 581, 518, 581, 281, 1, 1, 737, 2354, 3851, 3851, 2354, 737, 1, 1, 2095, 8452, 21577, 62702, 21577, 8452, 2095, 1, 1, 6268, 35474, 124879, 649470, 649470, 124879, 35474, 6268, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1....6.....15......28........90.........281...........737............2095

.1...15.....44.....110.......581........2354..........8452...........35474

.1...28....110.....518......3851.......21577........124879..........764482

.1...90....581....3851.....62702......649470.......6388097........74040837

.1..281...2354...21577....649470....10239175.....153675314......2926105110

.1..737...8452..124879...6388097...153675314....3710803701....113097325063

.1.2095..35474..764482..74040837..2926105110..113097325063...5908904429141

.1.6268.146560.4511480.809517928.50497979952.3060234284708.267611417815233

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

FORMULA

Empirical for column k:

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

k=2: a(n) = 3*a(n-1) -2*a(n-2) +9*a(n-3) -10*a(n-4) -4*a(n-5) -4*a(n-6)

k=3: [order 10]

k=4: [order 27]

k=5: [order 67]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A143210 A205133 A152238 * A086645 A168291 A154980

Adjacent sequences:  A295982 A295983 A295984 * A295986 A295987 A295988

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 01 2017

STATUS

approved

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Last modified December 12 22:06 EST 2019. Contains 329963 sequences. (Running on oeis4.)