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!)
A317004 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 30, 30, 8, 16, 112, 162, 112, 16, 32, 420, 894, 894, 420, 32, 64, 1576, 4905, 7665, 4905, 1576, 64, 128, 5912, 26952, 65047, 65047, 26952, 5912, 128, 256, 22176, 148138, 551591, 854383, 551591, 148138, 22176, 256, 512, 83184, 814090 (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.....162.......894........4905.........26952..........148138

...8...112.....894......7665.......65047........551591.........4691054

..16...420....4905.....65047......854383......11158663.......146589898

..32..1576...26952....551591....11158663.....223714229......4522081307

..64..5912..148138...4691054...146589898....4522081307....140997597309

.128.22176..814090..39872525..1924812465...91395911298...4396796733747

.256.83184.4474116.338839996.25259268302.1845641069555.136949793274310

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 11] for n>12

k=4: [order 38] for n>39

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A281949.

Sequence in context: A305769 A317118 A305530 * A316822 A317572 A281837

Adjacent sequences:  A317001 A317002 A317003 * A317005 A317006 A317007

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 18 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 October 18 05:52 EDT 2021. Contains 348065 sequences. (Running on oeis4.)