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!)
A222616 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order 7

%I #4 Feb 26 2013 08:32:02

%S 1,1,1,1,1,1,4,3,3,4,5,12,5,12,5,14,40,65,65,40,14,17,149,181,567,181,

%T 149,17,75,615,3545,5746,5746,3545,615,75,95,2659,11421,85511,60550,

%U 85511,11421,2659,95,411,11641,243955,1409334,2921905,2921905,1409334

%N T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Table starts

%C ....1.......1..........1.............4..............5...............14

%C ....1.......1..........3............12.............40..............149

%C ....1.......3..........5............65............181.............3545

%C ....4......12.........65...........567...........5746............85511

%C ....5......40........181..........5746..........60550..........2921905

%C ...14.....149.......3545.........85511........2921905........118162369

%C ...17.....615......11421.......1409334.......43650470.......5996281816

%C ...75....2659.....243955......23117220.....2748085305.....346754406852

%C ...95...11641.....829319.....385330520....44499006072...21456580709691

%C ..411...51672...17592855....6476514601..2935039880037.1373306350646075

%C ..519..231598...61952605..108758391488.48422176002273

%C .2522.1044550.1284213397.1826675971872

%H R. H. Hardin, <a href="/A222616/b222616.txt">Table of n, a(n) for n = 1..127</a>

%e Some solutions for n=3 k=4

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

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

%e ..0..0..1..1....0..0..0..0....0..0..0..0....1..1..1..0....0..0..2..1

%Y Column 1 is A222372

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_ Feb 26 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 April 25 09:56 EDT 2024. Contains 371967 sequences. (Running on oeis4.)