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A299458 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 5, 1, 1, 7, 7, 1, 1, 18, 7, 18, 1, 1, 31, 19, 19, 31, 1, 1, 65, 35, 48, 35, 65, 1, 1, 130, 95, 175, 175, 95, 130, 1, 1, 253, 223, 508, 1015, 508, 223, 253, 1, 1, 519, 571, 1522, 3514, 3514, 1522, 571, 519, 1, 1, 1018, 1535, 5065, 14409, 19041, 14409, 5065, 1535 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1...1....1.....1......1.......1........1.........1...........1............1

.1...5....7....18.....31......65......130.......253.........519.........1018

.1...7....7....19.....35......95......223.......571........1535.........4091

.1..18...19....48....175.....508.....1522......5065.......16968........56041

.1..31...35...175...1015....3514....14409.....69402......304094......1294490

.1..65...95...508...3514...19041...101878....624052.....3827796.....22241786

.1.130..223..1522..14409..101878...750083...6104533....48998539....384601868

.1.253..571..5065..69402..624052..6104533..67847199...723450111...7524339497

.1.519.1535.16968.304094.3827796.48998539.723450111.10455199270.145448283457

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..197

FORMULA

Empirical for column k:

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

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

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

k=4: [order 70] for n>71

EXAMPLE

Some solutions for n=6 k=6

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

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

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

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

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

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

CROSSREFS

Column 2 is A297937.

Sequence in context: A299561 A298382 A299249 * A300096 A294296 A078181

Adjacent sequences: A299455 A299456 A299457 * A299459 A299460 A299461

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 10 2018

STATUS

approved

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Last modified January 27 21:35 EST 2023. Contains 359849 sequences. (Running on oeis4.)