The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A222290 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order 9

%I #4 Feb 14 2013 20:29:13

%S 1,0,0,0,0,0,3,4,4,3,4,11,4,11,4,4,8,35,35,8,4,5,44,83,208,83,44,5,20,

%T 144,532,1125,1125,532,144,20,27,352,1427,6619,6582,6619,1427,352,27,

%U 48,692,8540,40321,89852,89852,40321,8540,692,48,63,2488,23798,250681

%N T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order

%C Table starts

%C ...1.....0.......0.........3...........4..............4..............5

%C ...0.....0.......4........11...........8.............44............144

%C ...0.....4.......4........35..........83............532...........1427

%C ...3....11......35.......208........1125...........6619..........40321

%C ...4.....8......83......1125........6582..........89852.........564838

%C ...4....44.....532......6619.......89852........1249354.......17801910

%C ...5...144....1427.....40321......564838.......17801910......262048125

%C ..20...352....8540....250681.....7879795......256986006.....8550246097

%C ..27...692...23798...1569385....50958999.....3744123550...129184703815

%C ..48..2488..143594...9860229...723447048....55066210090..4294346570524

%C ..63..6476..405187..62350467..4750196831...815041154350.66002018148195

%C .175.17095.2455279.395971584.67994171066.12128319606229

%H R. H. Hardin, <a href="/A222290/b222290.txt">Table of n, a(n) for n = 1..161</a>

%e Some solutions for n=4 k=4

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

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

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

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

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_ Feb 14 2013

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 May 22 13:22 EDT 2024. Contains 372755 sequences. (Running on oeis4.)