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A299008 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 26, 26, 8, 16, 88, 94, 88, 16, 32, 298, 372, 372, 298, 32, 64, 1012, 1510, 1977, 1510, 1012, 64, 128, 3440, 6105, 11553, 11553, 6105, 3440, 128, 256, 11700, 24546, 63472, 111695, 63472, 24546, 11700, 256, 512, 39804, 98995, 350339, 881525 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

...2.....8.....26.......88.......298........1012.........3440..........11700

...4....26.....94......372......1510........6105........24546..........98995

...8....88....372.....1977.....11553.......63472.......350339........1960512

..16...298...1510....11553....111695......881525......7133441.......61902351

..32..1012...6105....63472....881525.....9369586....103514554.....1240234582

..64..3440..24546...350339...7133441...103514554...1591404390....26808046076

.128.11700..98995..1960512..61902351..1240234582..26808046076...667156890263

.256.39804.399424.10931666.518059406.14225843633.428444704211.15251414560006

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) = 4*a(n-1) -2*a(n-2) +2*a(n-3) -6*a(n-4) -4*a(n-5)

k=3: [order 18] for n>19

k=4: [order 65] for n>66

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A298189.

Sequence in context: A299089 A299345 A299852 * A299675 A299753 A300267

Adjacent sequences: A299005 A299006 A299007 * A299009 A299010 A299011

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 31 2018

STATUS

approved

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Last modified November 29 02:51 EST 2022. Contains 358421 sequences. (Running on oeis4.)