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!)
A317118 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 30, 30, 8, 16, 112, 142, 112, 16, 32, 420, 698, 698, 420, 32, 64, 1576, 3398, 5157, 3398, 1576, 64, 128, 5912, 16686, 37221, 37221, 16686, 5912, 128, 256, 22176, 81809, 273221, 392393, 273221, 81809, 22176, 256, 512, 83184, 401415 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

...2.....8......30.......112........420.........1576...........5912

...4....30.....142.......698.......3398........16686..........81809

...8...112.....698......5157......37221.......273221........2000595

..16...420....3398.....37221.....392393......4237829.......45938893

..32..1576...16686....273221....4237829.....67247490.....1080066752

..64..5912...81809...2000595...45938893...1080066752....25956605294

.128.22176..401415..14657917..497129492..17278502991...620005212254

.256.83184.1969107.107409094.5387633738.277268412729.14887658798448

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) +4*a(n-3)

k=3: [order 10] for n>12

k=4: [order 35] for n>37

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A281949.

Sequence in context: A281955 A316183 A305769 * A305530 A317004 A316822

Adjacent sequences:  A317115 A317116 A317117 * A317119 A317120 A317121

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 21 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 23 08:23 EDT 2021. Contains 347610 sequences. (Running on oeis4.)