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A317741 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 8
0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 4, 3, 3, 4, 0, 0, 9, 2, 4, 2, 9, 0, 0, 22, 4, 14, 14, 4, 22, 0, 0, 53, 6, 23, 14, 23, 6, 53, 0, 0, 130, 14, 35, 38, 38, 35, 14, 130, 0, 0, 320, 14, 98, 74, 22, 74, 98, 14, 320, 0, 0, 788, 22, 213, 149, 36, 36, 149, 213, 22, 788, 0, 0, 1942, 43 (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......0......0

.0...1..1...2...4...9...22..53..130..320...788..1942..4787..11801..29093

.0...1..1...3...2...4....6..14...14...22....43....68....82....147....246

.0...2..3...4..14..23...35..98..213..448..1053..2285..5170..11442..25631

.0...4..2..14..14..38...74.149..269..662..1294..2721..5911..12084..25175

.0...9..4..23..38..22...36.140..146..218...736..1072..1890...4505...8860

.0..22..6..35..74..36..274.280.1065.1939..5947.13101.35847..83062.222994

.0..53.14..98.149.140..280.676..914.2388..3845.11110.14133..42876..69411

.0.130.14.213.269.146.1065.914.3242.5466.15470.37531.94202.234901.706951

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..645

FORMULA

Empirical for column k:

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

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

k=3: [order 10] for n>13

k=4: [order 23] for n>26

k=5: [order 33] for n>39

k=6: [order 56] for n>63

k=7: [order 97] for n>108

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A180760 A233270 A241291 * A317902 A317871 A082995

Adjacent sequences:  A317738 A317739 A317740 * A317742 A317743 A317744

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Aug 05 2018

STATUS

approved

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Last modified May 21 18:43 EDT 2019. Contains 323444 sequences. (Running on oeis4.)