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A299721 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 5, 1, 1, 13, 13, 1, 1, 42, 46, 42, 1, 1, 127, 246, 246, 127, 1, 1, 389, 1205, 2545, 1205, 389, 1, 1, 1192, 6354, 23877, 23877, 6354, 1192, 1, 1, 3645, 33804, 242107, 439647, 242107, 33804, 3645, 1, 1, 11161, 182056, 2501312, 8668148, 8668148 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1.....5.....13........42.........127............389.............1192

.1....13.....46.......246........1205...........6354............33804

.1....42....246......2545.......23877.........242107..........2501312

.1...127...1205.....23877......439647........8668148........174287007

.1...389...6354....242107.....8668148......330958005......12889348273

.1..1192..33804...2501312...174287007....12889348273.....971255866215

.1..3645.182056..26078075..3523382014...504002310677...73433529818762

.1.11161.988181.273889895.71647565308.19818564264619.5581654300729422

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

k=3: [order 12] for n>14

k=4: [order 29] for n>30

k=5: [order 83] for n>86

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298234.

Sequence in context: A299893 A299060 A299821 * A300342 A119725 A239279

Adjacent sequences:  A299718 A299719 A299720 * A299722 A299723 A299724

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 17 2018

STATUS

approved

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Last modified November 21 01:33 EST 2019. Contains 329349 sequences. (Running on oeis4.)