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A299180 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. 6
1, 2, 2, 4, 8, 4, 8, 25, 25, 8, 16, 85, 70, 85, 16, 32, 286, 205, 205, 286, 32, 64, 969, 614, 649, 614, 969, 64, 128, 3281, 1860, 2153, 2153, 1860, 3281, 128, 256, 11114, 5631, 7016, 8368, 7016, 5631, 11114, 256, 512, 37649, 17034, 22819, 30089, 30089, 22819 (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.....8....25.....85.....286.....969.....3281.....11114......37649

...4....25....70....205.....614....1860.....5631.....17034......51507

...8....85...205....649....2153....7016....22819.....73931.....239461

..16...286...614...2153....8368...30089...105709....376826....1341575

..32...969..1860...7016...30089..123258...488812...1973932....7998917

..64..3281..5631..22819..105709..488812..2207509..10286880...48492179

.128.11114.17034..73931..376826.1973932.10286880..56481101..314537796

.256.37649.51507.239461.1341575.7998917.48492179.314537796.2090883077

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

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

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

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

k=4: [order 22] for n>28

EXAMPLE

Some solutions for n=5 k=5

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A281338.

Column 3 is A298282.

Sequence in context: A281344 A298287 A299359 * A299942 A301841 A302069

Adjacent sequences:  A299177 A299178 A299179 * A299181 A299182 A299183

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 04 2018

STATUS

approved

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Last modified May 18 09:37 EDT 2022. Contains 353785 sequences. (Running on oeis4.)