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!)
A317525 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 248, 128, 16, 32, 512, 1921, 1921, 512, 32, 64, 2048, 14892, 28760, 14892, 2048, 64, 128, 8192, 115446, 431529, 431529, 115446, 8192, 128, 256, 32768, 894961, 6475106, 12547746, 6475106, 894961, 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......248........1921.........14892...........115446

...8....128.....1921.......28760........431529..........6475106

..16....512....14892......431529......12547746........364882328

..32...2048...115446.....6475106.....364882328......20564214798

..64...8192...894961....97158833...10610584063....1158965686460

.128..32768..6937925..1457871738..308552557709...65318143510572

.256.131072.53784248.21875422403.8972619323210.3681268128789010

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

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

k=4: a(n) = 15*a(n-1) +a(n-2) -8*a(n-3) -84*a(n-4) -63*a(n-5) +24*a(n-6) +20*a(n-7)

k=5: [order 22]

k=6: [order 59]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A004171(n-1).

Sequence in context: A301784 A316808 A299654 * A300208 A303421 A301407

Adjacent sequences:  A317522 A317523 A317524 * A317526 A317527 A317528

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 30 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 16 13:48 EDT 2021. Contains 348042 sequences. (Running on oeis4.)