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A299668 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 31, 31, 8, 16, 121, 179, 121, 16, 32, 472, 1080, 1080, 472, 32, 64, 1841, 6585, 10363, 6585, 1841, 64, 128, 7181, 40023, 100823, 100823, 40023, 7181, 128, 256, 28010, 243312, 974646, 1585983, 974646, 243312, 28010, 256, 512, 109255, 1479656 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

...2......8......31.......121.........472..........1841............7181

...4.....31.....179......1080........6585.........40023..........243312

...8....121....1080.....10363......100823........974646.........9424684

..16....472....6585....100823.....1585983......24665530.......383819990

..32...1841...40023....974646....24665530.....615314145.....15351583824

..64...7181..243312...9424684...383819990...15351583824....613943466291

.128..28010.1479656..91234133..5986258088..384274120067..24660009931840

.256.109255.8997567.882982660.93328306577.9615094296606.990036737595402

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

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

k=3: [order 11] for n>12

k=4: [order 38] for n>39

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A281831.

Sequence in context: A299844 A299001 A299746 * A300259 A305523 A298970

Adjacent sequences: A299665 A299666 A299667 * A299669 A299670 A299671

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 15 2018

STATUS

approved

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Last modified February 4 02:26 EST 2023. Contains 360045 sequences. (Running on oeis4.)