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A297814 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 8, 2, 2, 8, 0, 0, 5, 0, 8, 0, 5, 0, 0, 22, 2, 13, 13, 2, 22, 0, 0, 29, 0, 27, 24, 27, 0, 29, 0, 0, 60, 2, 41, 41, 41, 41, 2, 60, 0, 0, 121, 0, 100, 39, 83, 39, 100, 0, 121, 0, 0, 194, 2, 208, 109, 114, 114, 109, 208, 2, 194, 0, 0, 425, 0, 450, 216 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

.0..0.0...0...0...0...0....0....0....0.....0.....0.....0......0......0......0

.0..1.2...1...8...5..22...29...60..121...194...425...704...1421...2574...4821

.0..2.0...2...0...2...0....2....0....2.....0.....2.....0......2......0......2

.0..1.2...8..13..27..41..100..208..450...898..1871..3889...8201..17095..35607

.0..8.0..13..24..41..39..109..216..471...883..1826..3771...7957..16180..33265

.0..5.2..27..41..83.114..275..686.1545..3209..6926.15327..34142..75795.168685

.0.22.0..41..39.114..88..296..499.1270..2439..5497.12108..26721..58621.128316

.0.29.2.100.109.275.296..838.1536.3386..6644.14894.31159..67658.141516.309122

.0.60.0.208.216.686.499.1536.2234.6236.10650.25616.49634.113261.233334.522754

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..611

FORMULA

Empirical for column k:

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

k=2: a(n) = 3*a(n-2) +2*a(n-3) -2*a(n-4)

k=3: a(n) = a(n-2)

k=4: [order 14] for n>21

k=5: [order 12] for n>21

k=6: [order 40] for n>49

k=7: [order 49] for n>59

EXAMPLE

Some solutions for n=7 k=4

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A006997 A141612 A316342 * A298177 A298146 A295520

Adjacent sequences:  A297811 A297812 A297813 * A297815 A297816 A297817

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 06 2018

STATUS

approved

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Last modified August 4 16:25 EDT 2021. Contains 346447 sequences. (Running on oeis4.)