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A299366 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 5, 1, 1, 13, 13, 1, 1, 42, 23, 42, 1, 1, 127, 125, 125, 127, 1, 1, 389, 420, 1157, 420, 389, 1, 1, 1192, 1943, 8134, 8134, 1943, 1192, 1, 1, 3645, 9012, 66668, 107653, 66668, 9012, 3645, 1, 1, 11161, 42321, 564283, 1640199, 1640199, 564283, 42321 (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.....23......125........420..........1943............9012

.1....42....125.....1157.......8134.........66668..........564283

.1...127....420.....8134.....107653.......1640199........25838859

.1...389...1943....66668....1640199......45416563......1301827631

.1..1192...9012...564283...25838859....1301827631.....67756659422

.1..3645..42321..4792366..404080073...37042505019...3508332244817

.1.11161.205597.41273307.6401182687.1066728270636.183583736926115

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 46] for n>48

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298234.

Sequence in context: A272644 A157177 A298240 * A299135 A299893 A299060

Adjacent sequences:  A299363 A299364 A299365 * A299367 A299368 A299369

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 08 2018

STATUS

approved

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Last modified May 31 00:53 EDT 2020. Contains 334747 sequences. (Running on oeis4.)