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A297866 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3 or 4 king-move adjacent elements, with upper left element zero. 8
0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 5, 4, 5, 0, 0, 10, 13, 13, 10, 0, 0, 25, 62, 15, 62, 25, 0, 0, 54, 222, 233, 233, 222, 54, 0, 0, 125, 820, 1052, 2621, 1052, 820, 125, 0, 0, 282, 3159, 5774, 21519, 21519, 5774, 3159, 282, 0, 0, 641, 11882, 36119, 174970, 284344, 174970 (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...1.....2......5.......10........25..........54...........125............282

.0...2.....4.....13.......62.......222.........820..........3159..........11882

.0...5....13.....15......233......1052........5774.........36119.........204522

.0..10....62....233.....2621.....21519......174970.......1556367.......13214094

.0..25...222...1052....21519....284344.....3740362......52727368......711614693

.0..54...820...5774...174970...3740362....76517448....1699781649....36000744495

.0.125..3159..36119..1556367..52727368..1699781649...58344517697..1923723833047

.0.282.11882.204522.13214094.711614693.36000744495.1923723833047.99045666327382

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..197

FORMULA

Empirical for column k:

k=1: a(n) =

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

k=3: [order 14] for n>16

k=4: [order 47] for n>50

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A240509 A330619 A245693 * A298133 A298070 A298719

Adjacent sequences:  A297863 A297864 A297865 * A297867 A297868 A297869

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 07 2018

STATUS

approved

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Last modified August 14 09:14 EDT 2020. Contains 336480 sequences. (Running on oeis4.)