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A298629 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 6, 8, 6, 0, 0, 17, 26, 26, 17, 0, 0, 41, 138, 125, 138, 41, 0, 0, 104, 611, 1218, 1218, 611, 104, 0, 0, 261, 2880, 8617, 20959, 8617, 2880, 261, 0, 0, 655, 13727, 71334, 285085, 285085, 71334, 13727, 655, 0, 0, 1646, 65070, 577595, 4228781 (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.....8......26.......138..........611...........2880............13727

.0...6....26.....125......1218.........8617..........71334...........577595

.0..17...138....1218.....20959.......285085........4228781.........62707643

.0..41...611....8617....285085......7087666......193309200.......5247911837

.0.104..2880...71334...4228781....193309200.....9557110072.....471778534219

.0.261.13727..577595..62707643...5247911837...471778534219...42384213387355

.0.655.65070.4700651.929296248.142315671147.23254989974319.3802910270886730

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 11] for n>12

k=4: [order 48]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A297972.

Sequence in context: A335682 A335681 A297978 * A298461 A299334 A268759

Adjacent sequences:  A298626 A298627 A298628 * A298630 A298631 A298632

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 23 2018

STATUS

approved

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Last modified January 21 05:13 EST 2022. Contains 350473 sequences. (Running on oeis4.)