login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317271 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 5
1, 1, 1, 1, 4, 1, 1, 8, 8, 1, 1, 24, 13, 24, 1, 1, 82, 64, 64, 82, 1, 1, 272, 240, 498, 240, 272, 1, 1, 908, 842, 2922, 2922, 842, 908, 1, 1, 3076, 3302, 16877, 31878, 16877, 3302, 3076, 1, 1, 10444, 12740, 111073, 269286, 269286, 111073, 12740, 10444, 1, 1, 35480, 48468 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1.....1.....1.......1.........1...........1............1..............1

.1.....4.....8......24........82.........272..........908...........3076

.1.....8....13......64.......240.........842.........3302..........12740

.1....24....64.....498......2922.......16877.......111073.........700859

.1....82...240....2922.....31878......269286......2915690.......29663556

.1...272...842...16877....269286.....3234635.....52389467......773668467

.1...908..3302..111073...2915690....52389467...1396521994....32539573668

.1..3076.12740..700859..29663556...773668467..32539573668..1165304769027

.1.10444.48468.4405884.295164308.11290705493.748729425556.40989107393702

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

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

k=3: [order 20]

k=4: [order 71] for n>72

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A303882.

Column 3 is A306131.

Column 4 is A306132.

Sequence in context: A304551 A316376 A306136 * A304419 A316244 A305954

Adjacent sequences:  A317268 A317269 A317270 * A317272 A317273 A317274

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 25 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 20 10:10 EDT 2019. Contains 327229 sequences. (Running on oeis4.)