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A298841 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 6, 9, 6, 0, 0, 17, 21, 21, 17, 0, 0, 41, 127, 110, 127, 41, 0, 0, 104, 513, 1045, 1045, 513, 104, 0, 0, 261, 2440, 7322, 18075, 7322, 2440, 261, 0, 0, 655, 11458, 60497, 242872, 242872, 60497, 11458, 655, 0, 0, 1646, 53727, 482261, 3570731 (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.....3.......6........17...........41............104..............261

.0...3.....9......21.......127..........513...........2440............11458

.0...6....21.....110......1045.........7322..........60497...........482261

.0..17...127....1045.....18075.......242872........3570731.........52303834

.0..41...513....7322....242872......5918418......160441457.......4287985074

.0.104..2440...60497...3570731....160441457.....7844725524.....380985444657

.0.261.11458..482261..52303834...4287985074...380985444657...33608679844048

.0.655.53727.3886764.766622466.114829835558.18510417612668.2967985050748586

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

k=3: [order 12] for n>14

k=4: [order 45] for n>48

EXAMPLE

Some solutions for n=5 k=5

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

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

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

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

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

CROSSREFS

Column 2 is A297972.

Sequence in context: A298461 A299334 A268759 * A299602 A299554 A300175

Adjacent sequences:  A298838 A298839 A298840 * A298842 A298843 A298844

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 27 2018

STATUS

approved

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Last modified May 26 04:43 EDT 2022. Contains 354074 sequences. (Running on oeis4.)