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A304767 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 3, 0, 0, 5, 5, 0, 0, 18, 16, 18, 0, 0, 61, 103, 103, 61, 0, 0, 209, 609, 1321, 609, 209, 0, 0, 702, 3680, 14831, 14831, 3680, 702, 0, 0, 2381, 22187, 172574, 316639, 172574, 22187, 2381, 0, 0, 8069, 133917, 1999511, 6978743, 6978743, 1999511 (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.....16.......103.........609...........3680............22187

.0...18....103......1321.......14831.........172574..........1999511

.0...61....609.....14831......316639........6978743........153265405

.0..209...3680....172574.....6978743......292676592......12219307955

.0..702..22187...1999511...153265405....12219307955.....969267512820

.0.2381.133917..23203301..3370551763...510976436144...77018325396680

.0.8069.808316.269239457.74123574757.21366609684109.6119460744287122

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 13] for n>15

k=4: [order 31] for n>32

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A303684.

Sequence in context: A305457 A305022 A316686 * A316511 A317465 A051174

Adjacent sequences:  A304764 A304765 A304766 * A304768 A304769 A304770

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 18 2018

STATUS

approved

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Last modified January 16 17:26 EST 2022. Contains 350376 sequences. (Running on oeis4.)