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A316576 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero. 5
1, 1, 1, 1, 4, 1, 1, 8, 8, 1, 1, 24, 11, 24, 1, 1, 82, 40, 40, 82, 1, 1, 272, 94, 246, 94, 272, 1, 1, 908, 291, 899, 899, 291, 908, 1, 1, 3076, 776, 4262, 3180, 4262, 776, 3076, 1, 1, 10444, 2269, 18773, 17695, 17695, 18773, 2269, 10444, 1, 1, 35480, 6275, 86217 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1.....4....8.....24......82......272.......908.......3076........10444

.1.....8...11.....40......94......291.......776.......2269.........6275

.1....24...40....246.....899.....4262.....18773......86217.......393045

.1....82...94....899....3180....17695.....88597.....457091......2402617

.1...272..291...4262...17695...129257....873130....5763068.....41285414

.1...908..776..18773...88597...873130...8469438...69549901....725190299

.1..3076.2269..86217..457091..5763068..69549901..730909482...9689842501

.1.10444.6275.393045.2402617.41285414.725190299.9689842501.185758559665

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical for column k:

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

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

k=3: [order 19] for n>20

k=4: [order 49] for n>52

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A303882.

Column 3 is A304889.

Column 4 is A304890.

Sequence in context: A303888 A305281 A304894 * A304551 A316376 A306136

Adjacent sequences:  A316573 A316574 A316575 * A316577 A316578 A316579

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 07 2018

STATUS

approved

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Last modified September 15 14:38 EDT 2019. Contains 327078 sequences. (Running on oeis4.)