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!)
A299661 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7

%I #4 Feb 15 2018 14:49:03

%S 1,2,2,4,8,4,8,32,32,8,16,128,227,128,16,32,512,1642,1642,512,32,64,

%T 2048,11888,22087,11888,2048,64,128,8192,86123,297071,297071,86123,

%U 8192,128,256,32768,624007,4001253,7411398,4001253,624007,32768,256,512,131072

%N T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Table starts

%C ...1......2........4..........8............16..............32

%C ...2......8.......32........128...........512............2048

%C ...4.....32......227.......1642.........11888...........86123

%C ...8....128.....1642......22087........297071.........4001253

%C ..16....512....11888.....297071.......7411398.......185302633

%C ..32...2048....86123....4001253.....185302633......8607101770

%C ..64...8192...624007...53909088....4634931975....400012077773

%C .128..32768..4521433..726363190..115940148451..18591844096646

%C .256.131072.32761769.9787119222.2900256951630.864147943636240

%H R. H. Hardin, <a href="/A299661/b299661.txt">Table of n, a(n) for n = 1..180</a>

%F Empirical for column k:

%F k=1: a(n) = 2*a(n-1)

%F k=2: a(n) = 4*a(n-1)

%F k=3: [order 8]

%F k=4: [order 24]

%F k=5: [order 89]

%e Some solutions for n=5 k=5

%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0

%e ..0..0..0..0..0. .0..0..1..1..0. .0..0..1..1..0. .0..1..0..0..0

%e ..1..0..0..1..0. .1..1..1..1..0. .0..0..0..1..0. .0..0..1..1..1

%e ..1..1..0..1..0. .1..1..0..0..0. .0..1..1..1..1. .0..1..1..0..0

%e ..1..1..0..1..1. .0..0..0..1..0. .0..0..0..1..0. .0..0..1..1..1

%Y Column 1 is A000079(n-1).

%Y Column 2 is A004171(n-1).

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Feb 15 2018

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 March 28 16:58 EDT 2024. Contains 371254 sequences. (Running on oeis4.)