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A304347 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 8
1, 2, 2, 4, 4, 4, 8, 14, 14, 8, 16, 28, 27, 28, 16, 32, 94, 71, 71, 94, 32, 64, 284, 225, 290, 225, 284, 64, 128, 752, 613, 1266, 1266, 613, 752, 128, 256, 2244, 1752, 4733, 6373, 4733, 1752, 2244, 256, 512, 6532, 5102, 18855, 27505, 27505, 18855, 5102, 6532, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2.....4......8......16.......32........64........128.........256

...2....4....14.....28......94......284.......752.......2244........6532

...4...14....27.....71.....225......613......1752.......5102.......14673

...8...28....71....290....1266.....4733.....18855......76887......308978

..16...94...225...1266....6373....27505....127511.....633229.....3052998

..32..284...613...4733...27505...135445....741942....4355191....24554331

..64..752..1752..18855..127511...741942...4921043...36193582...250785575

.128.2244..5102..76887..633229..4355191..36193582..343449680..2937754820

.256.6532.14673.308978.3052998.24554331.250785575.2937754820.30008468246

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

FORMULA

Empirical for column k:

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

k=2: a(n) = 2*a(n-1) +2*a(n-2) +6*a(n-3) -10*a(n-4) -8*a(n-5) for n>6

k=3: [order 15] for n>16

k=4: [order 57] for n>60

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Sequence in context: A317238 A260038 A193916 * A316218 A305642 A317036

Adjacent sequences:  A304344 A304345 A304346 * A304348 A304349 A304350

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 11 2018

STATUS

approved

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Last modified September 25 12:38 EDT 2021. Contains 347654 sequences. (Running on oeis4.)