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!)
A299654 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 247, 128, 16, 32, 512, 1924, 1924, 512, 32, 64, 2048, 14981, 29408, 14981, 2048, 64, 128, 8192, 116654, 448993, 448993, 116654, 8192, 128, 256, 32768, 908360, 6856789, 13431706, 6856789, 908360, 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

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

...4.....32......247........1924..........14981...........116654

...8....128.....1924.......29408.........448993..........6856789

..16....512....14981......448993.......13431706........401989538

..32...2048...116654.....6856789......401989538......23582064542

..64...8192...908360...104711327....12030404350....1383316377321

.128..32768..7073213..1599074414...360039414559...81146123707386

.256.131072.55077652.24419877459.10775053220325.4760069868306954

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

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) = 7*a(n-1) +5*a(n-2) +9*a(n-3) -a(n-4) -6*a(n-5)

k=4: [order 14]

k=5: [order 31]

k=6: [order 89]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A004171(n-1).

Sequence in context: A302010 A301784 A316808 * A317525 A300208 A303421

Adjacent sequences:  A299651 A299652 A299653 * A299655 A299656 A299657

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 15 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 April 14 03:13 EDT 2021. Contains 342941 sequences. (Running on oeis4.)