login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317565 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 228, 128, 16, 32, 512, 1619, 1619, 512, 32, 64, 2048, 11510, 20312, 11510, 2048, 64, 128, 8192, 81814, 255788, 255788, 81814, 8192, 128, 256, 32768, 581541, 3218063, 5721314, 3218063, 581541, 32768, 256, 512, 131072 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

...2......8.......32........128...........512............2048..............8192

...4.....32......228.......1619.........11510...........81814............581541

...8....128.....1619......20312........255788.........3218063..........40491721

..16....512....11510.....255788.......5721314.......127754533........2853437287

..32...2048....81814....3218063.....127754533......5059110002......200422637482

..64...8192...581541...40491721....2853437287....200422637482....14085130453968

.128..32768..4133710..509501103...63734296219...7940287015341...989910863217269

.256.131072.29383111.6410860875.1423516915862.314559200160931.69566536617221409

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)

k=3: a(n) = 6*a(n-1) +11*a(n-2) -11*a(n-3) -72*a(n-4) -54*a(n-5) for n>6

k=4: [order 17] for n>18

k=5: [order 62] for n>63

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A004171(n-1).

Sequence in context: A316815 A299661 A320371 * A302741 A300215 A300804

Adjacent sequences:  A317562 A317563 A317564 * A317566 A317567 A317568

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 31 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)