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A298719 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 5, 4, 5, 0, 0, 10, 13, 13, 10, 0, 0, 25, 63, 59, 63, 25, 0, 0, 54, 264, 346, 346, 264, 54, 0, 0, 125, 1005, 2246, 3508, 2246, 1005, 125, 0, 0, 282, 4113, 13650, 34704, 34704, 13650, 4113, 282, 0, 0, 641, 16720, 87117, 309593, 563977 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

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

.0...1.....2......5.......10.........25...........54...........125

.0...2.....4.....13.......63........264.........1005..........4113

.0...5....13.....59......346.......2246........13650.........87117

.0..10....63....346.....3508......34704.......309593.......2960634

.0..25...264...2246....34704.....563977......8287084.....125919136

.0..54..1005..13650...309593....8287084....193439202....4672566734

.0.125..4113..87117..2960634..125919136...4672566734..177476979652

.0.282.16720.550582.27934888.1909040369.112689610775.6748480839625

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-2) +4*a(n-3) +2*a(n-4)

k=3: [order 18]

k=4: [order 63] for n>64

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A297860.

Sequence in context: A297866 A298133 A298070 * A296148 A121178 A175917

Adjacent sequences:  A298716 A298717 A298718 * A298720 A298721 A298722

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 25 2018

STATUS

approved

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Last modified October 26 20:42 EDT 2021. Contains 348269 sequences. (Running on oeis4.)