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A304427 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 8
0, 1, 1, 1, 7, 1, 2, 25, 25, 2, 3, 98, 124, 98, 3, 5, 383, 836, 836, 383, 5, 8, 1493, 5227, 9304, 5227, 1493, 8, 13, 5824, 33263, 98190, 98190, 33263, 5824, 13, 21, 22717, 210954, 1043316, 1712347, 1043316, 210954, 22717, 21, 34, 88609, 1338995 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0.....1.......1..........2............3..............5................8

..1.....7......25.........98..........383...........1493.............5824

..1....25.....124........836.........5227..........33263...........210954

..2....98.....836.......9304........98190........1043316.........11085965

..3...383....5227......98190......1712347.......30362267........536823135

..5..1493...33263....1043316.....30362267......898146670......26510744474

..8..5824..210954...11085965....536823135....26510744474....1305482386171

.13.22717.1338995..117776344...9501018264...783174010085...64363459841666

.21.88609.8497693.1251440091.168137854364.23137703330738.3173399640697899

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) +a(n-2)

k=2: a(n) = 3*a(n-1) +3*a(n-2) +2*a(n-3)

k=3: [order 9] for n>10

k=4: [order 27] for n>28

k=5: [order 90] for n>93

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Sequence in context: A316383 A306143 A317376 * A316282 A305961 A317222

Adjacent sequences: A304424 A304425 A304426 * A304428 A304429 A304430

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 12 2018

STATUS

approved

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Last modified February 6 17:34 EST 2023. Contains 360110 sequences. (Running on oeis4.)