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A298382 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 5, 1, 1, 7, 7, 1, 1, 18, 6, 18, 1, 1, 31, 18, 18, 31, 1, 1, 65, 30, 47, 30, 65, 1, 1, 130, 87, 172, 172, 87, 130, 1, 1, 253, 200, 504, 852, 504, 200, 253, 1, 1, 519, 522, 1502, 3271, 3271, 1502, 522, 519, 1, 1, 1018, 1421, 5011, 12982, 17749, 12982, 5011, 1421 (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

.1...5....7....18.....31......65......130.......253........519.........1018

.1...7....6....18.....30......87......200.......522.......1421.........3805

.1..18...18....47....172.....504.....1502......5011......16723........55130

.1..31...30...172....852....3271....12982.....61188.....269075......1128296

.1..65...87...504...3271...17749....94292....570906....3475015.....19883608

.1.130..200..1502..12982...94292...682833...5489368...43729967....338622211

.1.253..522..5011..61188..570906..5489368..59733814..631658087...6469036635

.1.519.1421.16723.269075.3475015.43729967.631658087.9025761348.123286546709

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

k=3: [order 17] for n>18

k=4: [order 71] for n>72

EXAMPLE

Some solutions for n=6 k=4

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

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

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

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

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

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

CROSSREFS

Column 2 is A297937.

Sequence in context: A298554 A298727 A299561 * A299249 A299458 A300096

Adjacent sequences: A298379 A298380 A298381 * A298383 A298384 A298385

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 18 2018

STATUS

approved

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Last modified December 8 01:12 EST 2022. Contains 358672 sequences. (Running on oeis4.)