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!)
A252695 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order 9

%I

%S 46,96,96,148,142,148,394,204,204,394,707,519,134,519,707,1982,1047,

%T 407,407,1047,1982,3703,2719,291,1480,291,2719,3703,10772,6483,881,

%U 2048,2048,881,6483,10772,20437,16887,727,6246,568,6246,727,16887,20437,60042

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order

%C Table starts

%C ....46.....96..148....394...707...1982...3703...10772..20437...60042..115343

%C ....96....142..204....519..1047...2719...6483...16887..42825..111655..288975

%C ...148....204..134....407...291....881....727....2067...2067....5331....6491

%C ...394....519..407...1480..2048...6246..12740...35128..84680..225000..573968

%C ...707...1047..291...2048...568...4138...1276....8608...3244...18576....9144

%C ..1982...2719..881...6246..4138..18940..25382...82842.168598..474106.1144322

%C ..3703...6483..727..12740..1276..25382...2592...51060...5944..103716...15052

%C .10772..16887.2067..35128..8608..82842..51060..255112.337036.1125816.2286048

%C .20437..42825.2067..84680..3244.168598...5944..337036..12400..675756...28596

%C .60042.111655.5331.225000.18576.474106.103716.1125816.675756.3480808.4572432

%H R. H. Hardin, <a href="/A252695/b252695.txt">Table of n, a(n) for n = 1..480</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 13] for n>14

%F k=2: [order 10] for n>11

%F k=3: [order 9] for n>10

%F k=4: [order 10] for n>11

%F k=5: [order 9] for n>10

%F k=6: [order 10] for n>11

%F k=7: [order 9] for n>10

%e Some solutions for n=4 k=4

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

%e ..2..3..2..3..2..3....2..3..2..3..2..3....2..3..3..0..0..3....2..3..3..2..2..3

%e ..2..3..2..3..2..3....2..3..2..3..2..3....2..1..1..2..2..3....2..1..1..0..0..1

%e ..0..1..0..1..0..1....0..1..0..1..0..1....0..3..3..0..0..1....0..3..3..2..2..1

%e ..0..1..0..1..0..1....0..1..0..1..0..1....2..1..1..2..2..1....2..1..1..0..0..3

%e ..2..2..3..2..3..2....3..3..2..2..3..2....2..3..3..0..0..3....2..3..3..2..2..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 20 2014

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 August 15 11:04 EDT 2022. Contains 356145 sequences. (Running on oeis4.)