login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A231302 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order 9
1, 2, 2, 4, 5, 4, 12, 16, 16, 12, 32, 51, 69, 51, 32, 92, 174, 301, 301, 174, 92, 264, 617, 1414, 1934, 1414, 617, 264, 756, 2223, 6850, 12150, 12150, 6850, 2223, 756, 2176, 8051, 33316, 78028, 103456, 78028, 33316, 8051, 2176, 6252, 29220, 162796, 503290 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1......2.......4........12.........32...........92...........264

....2......5......16........51........174..........617..........2223

....4.....16......69.......301.......1414.........6850.........33316

...12.....51.....301......1934......12150........78028........503290

...32....174....1414.....12150.....103456.......894318.......7795257

...92....617....6850.....78028.....894318.....10359556.....122696560

..264...2223...33316....503290....7795257....122696560....1965819189

..756...8051..162796...3300161...68850102...1465475351...31830949407

.2176..29220..797293..21613114..608914401..17557687250..517419330480

.6252.106109.3906788.142211597.5409898598.211100299699.8451367403478

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +3*a(n-2) -4*a(n-4)

k=2: [order 8] for n>9

k=3: [order 14] for n>16

k=4: [order 44] for n>48

EXAMPLE

Some solutions for n=4 k=4

..0..1..1..1..1....0..0..0..0..0....0..0..1..1..1....0..1..1..1..1

..0..1..1..1..0....0..1..1..0..0....0..0..1..1..1....0..1..1..1..0

..0..0..0..0..0....1..1..1..0..0....0..0..1..1..1....0..1..1..0..0

..0..0..0..1..1....1..1..2..2..2....0..0..0..1..1....0..0..0..0..0

..0..0..1..1..1....1..2..2..2..2....0..0..0..1..1....0..0..0..0..0

CROSSREFS

Sequence in context: A229402 A266249 A276299 * A231363 A225840 A319409

Adjacent sequences:  A231299 A231300 A231301 * A231303 A231304 A231305

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 07 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)