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A298834 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 0, 4, 0, 1, 4, 4, 1, 0, 16, 1, 16, 0, 1, 48, 6, 6, 48, 1, 0, 88, 10, 68, 10, 88, 0, 1, 240, 15, 141, 141, 15, 240, 1, 0, 704, 60, 489, 1590, 489, 60, 704, 0, 1, 1600, 128, 2774, 3282, 3282, 2774, 128, 1600, 1, 0, 4032, 267, 9849, 27915, 16551, 27915, 9849, 267, 4032, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1....4...4....16......48.......88.......240.........704..........1600

.0....4...1.....6......10.......15........60.........128...........267

.1...16...6....68.....141......489......2774........9849.........39101

.0...48..10...141....1590.....3282.....27915......246700.......1055145

.1...88..15...489....3282....16551....226883.....1917869......16022685

.0..240..60..2774...27915...226883...5097700....70784399.....995832826

.1..704.128..9849..246700..1917869..70784399..2031564141...35098724239

.0.1600.267.39101.1055145.16022685.995832826.35098724239.1185589525594

LINKS

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

FORMULA

Empirical for column k:

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

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

k=3: [order 19] for n>20

k=4: [order 63] for n>65

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298448.

Sequence in context: A217476 A298622 A298454 * A299588 A299528 A300146

Adjacent sequences:  A298831 A298832 A298833 * A298835 A298836 A298837

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 27 2018

STATUS

approved

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Last modified January 19 06:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)