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A282791 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly one element. 8
0, 0, 0, 1, 0, 1, 2, 8, 8, 2, 5, 16, 73, 16, 5, 12, 72, 318, 318, 72, 12, 26, 240, 1747, 1952, 1747, 240, 26, 56, 736, 8216, 16584, 16584, 8216, 736, 56, 118, 2352, 38027, 119176, 208559, 119176, 38027, 2352, 118, 244, 7128, 173722, 832218, 2207352, 2207352 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

...0.....0.......1.........2...........5............12..............26

...0.....0.......8........16..........72...........240.............736

...1.....8......73.......318........1747..........8216...........38027

...2....16.....318......1952.......16584........119176..........832218

...5....72....1747.....16584......208559.......2207352........22998587

..12...240....8216....119176.....2207352......34974844.......545174028

..26...736...38027....832218....22998587.....545174028.....12713143876

..56..2352..173722...5780340...236744562....8385651160....292288389872

.118..7128..773529..39020884..2372235577..125782952202...6555156469894

.244.21424.3412416.260919192.23556868268.1869100531456.145619095090322

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

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

k=2: a(n) = 2*a(n-1) +5*a(n-2) +2*a(n-3) -17*a(n-4) -24*a(n-5) -16*a(n-6)

k=3: [order 12]

k=4: [order 18]

k=5: [order 42]

k=6: [order 60]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A073778(n-1).

Sequence in context: A196775 A021351 A011061 * A242168 A011288 A198234

Adjacent sequences:  A282788 A282789 A282790 * A282792 A282793 A282794

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 21 2017

STATUS

approved

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Last modified May 17 14:19 EDT 2022. Contains 353746 sequences. (Running on oeis4.)