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!)
A206650 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order 8

%I #6 Feb 22 2020 20:54:24

%S 1,2,2,4,14,4,11,96,96,11,30,726,1625,726,30,82,5400,30145,30145,5400,

%T 82,224,40344,545520,1414023,545520,40344,224,612,301056,9937823,

%U 64166392,64166392,9937823,301056,612,1672,2247264,180716227,2937839117

%N T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order

%C Table starts

%C ...1.......2..........4............11................30...................82

%C ...2......14.........96...........726..............5400................40344

%C ...4......96.......1625.........30145............545520..............9937823

%C ..11.....726......30145.......1414023..........64166392...........2937839117

%C ..30....5400.....545520......64166392........7241587334.........826407481102

%C ..82...40344....9937823....2937839117......826407481102......235596375117548

%C .224..301056..180716227..134185561617....94026798615720....66923081500826797

%C .612.2247264.3287842038.6132878568838.10706810410657410.19028556027562892700

%H R. H. Hardin, <a href="/A206650/b206650.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A021006(n-3)

%Y Column 2 is A204699

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 11 2012

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 23 16:28 EDT 2024. Contains 371916 sequences. (Running on oeis4.)