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A298667 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 5, 2, 5, 1, 1, 1, 8, 8, 2, 2, 8, 8, 1, 1, 5, 7, 9, 20, 9, 7, 5, 1, 1, 22, 25, 13, 38, 38, 13, 25, 22, 1, 1, 29, 25, 26, 84, 169, 84, 26, 25, 29, 1, 1, 60, 58, 74, 319, 238, 238, 319, 74, 58, 60, 1, 1, 121, 95, 134, 770, 1019, 978 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,13

COMMENTS

Table starts

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

.1..1..0..1...2....1.....8.....5.....22......29......60......121.......194

.1..0..3..1...5....8.....7....25.....25......58......95......155.......299

.1..1..1..2...2....9....13....26.....74.....134.....325......731......1568

.1..2..5..2..20...38....84...319....770....2106....6301....17282.....47774

.1..1..8..9..38..169...238..1019...3112....7518...25887....74736....218787

.1..8..7.13..84..238...978..3895..11843...49752..184380...640323...2550161

.1..5.25.26.319.1019..3895.22938..81474..386923.1791871..7595552..35648606

.1.22.25.74.770.3112.11843.81474.329249.1693779.9364144.43238329.235861179

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

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) for n>5

k=3: [order 12]

k=4: [order 35]

EXAMPLE

Some solutions for n=8 k=4

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

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

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

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

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

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

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

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

CROSSREFS

Column 2 is A297809(n-2).

Sequence in context: A253238 A249773 A030369 * A226166 A209155 A082062

Adjacent sequences:  A298664 A298665 A298666 * A298668 A298669 A298670

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 24 2018

STATUS

approved

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Last modified April 9 10:32 EDT 2020. Contains 333348 sequences. (Running on oeis4.)