login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A281988 T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 7
0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 16, 121, 16, 0, 0, 88, 1054, 1054, 88, 0, 0, 432, 7053, 10852, 7053, 432, 0, 0, 2008, 41118, 89414, 89414, 41118, 2008, 0, 0, 8992, 226025, 659508, 938730, 659508, 226025, 8992, 0, 0, 39200, 1189600, 4668914, 8777256, 8777256 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

.0......0........0..........0...........0.............0..............0

.0......0........2.........16..........88...........432...........2008

.0......2......121.......1054........7053.........41118.........226025

.0.....16.....1054......10852.......89414........659508........4668914

.0.....88.....7053......89414......938730.......8777256.......77613062

.0....432....41118.....659508.....8777256.....104671608.....1170765416

.0...2008...226025....4668914....77613062....1170765416....16521306352

.0...8992..1189600...31829068...662453196...12655050072...225583845888

.0..39200..6090935..212313306..5524744676..133501129836..3008079936046

.0.167552.30538028.1390961304.45282954978.1383406166720.39403294497598

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) =

k=2: a(n) = 8*a(n-1) -20*a(n-2) +24*a(n-3) -36*a(n-4) +16*a(n-5) -16*a(n-6)

k=3: [order 20] for n>23

k=4: [order 56] for n>63

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Sequence in context: A353254 A281034 A282441 * A190389 A285485 A176127

Adjacent sequences:  A281985 A281986 A281987 * A281989 A281990 A281991

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 04 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 30 14:38 EDT 2022. Contains 357106 sequences. (Running on oeis4.)