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A316686 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 5
0, 0, 0, 0, 3, 0, 0, 5, 5, 0, 0, 18, 14, 18, 0, 0, 61, 73, 73, 61, 0, 0, 209, 387, 769, 387, 209, 0, 0, 702, 2000, 6742, 6742, 2000, 702, 0, 0, 2381, 10487, 62314, 101803, 62314, 10487, 2381, 0, 0, 8069, 54957, 570806, 1591947, 1591947, 570806, 54957, 8069, 0, 0, 27330 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0....0......0........0..........0............0...............0

.0....3......5.......18.........61..........209.............702

.0....5.....14.......73........387.........2000...........10487

.0...18.....73......769.......6742........62314..........570806

.0...61....387.....6742.....101803......1591947........24891152

.0..209...2000....62314....1591947.....43037698......1155724711

.0..702..10487...570806...24891152...1155724711.....53245963290

.0.2381..54957..5242925..389069291..31086640568...2457712512055

.0.8069.287218.48153854.6084616648.836374058655.113464874364839

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

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

k=3: [order 15] for n>16

k=4: [order 42] for n>44

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A303684.

Column 3 is A305017.

Column 4 is A305018.

Sequence in context: A304065 A305457 A305022 * A304767 A316511 A317465

Adjacent sequences:  A316683 A316684 A316685 * A316687 A316688 A316689

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 10 2018

STATUS

approved

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Last modified January 24 16:44 EST 2021. Contains 340411 sequences. (Running on oeis4.)