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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A300259 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 5
1, 2, 2, 4, 8, 4, 8, 31, 31, 8, 16, 121, 179, 121, 16, 32, 472, 1080, 1080, 472, 32, 64, 1841, 6585, 10363, 6585, 1841, 64, 128, 7181, 40023, 100823, 100823, 40023, 7181, 128, 256, 28010, 243312, 974646, 1588195, 974646, 243312, 28010, 256, 512, 109255, 1479656 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1......2.......4.........8..........16............32...............64

...2......8......31.......121.........472..........1841.............7181

...4.....31.....179......1080........6585.........40023...........243312

...8....121....1080.....10363......100823........974646..........9424684

..16....472....6585....100823.....1588195......24735890........385299869

..32...1841...40023....974646....24735890.....618957455......15475106013

..64...7181..243312...9424684...385299869...15475106013.....620657860617

.128..28010.1479656..91234133..6015414147..388173584774...24999315059414

.256.109255.8997567.882982660.93883095950.9733989458695.1006615871837972

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) = 3*a(n-1) +3*a(n-2) +2*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..1..1..1. .0..0..1..0. .0..0..1..0. .0..1..0..1. .0..1..1..0

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A281831.

Column 3 is A299663.

Column 4 is A299664.

Sequence in context: A299001 A299746 A299668 * A305523 A298970 A316960

Adjacent sequences:  A300256 A300257 A300258 * A300260 A300261 A300262

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 01 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 23 06:08 EDT 2019. Contains 322381 sequences. (Running on oeis4.)