login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A279805 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 5
0, 0, 0, 2, 2, 2, 4, 22, 22, 4, 14, 196, 740, 196, 14, 40, 1848, 19376, 19376, 1848, 40, 120, 16720, 507986, 1476500, 507986, 16720, 120, 352, 149392, 12910722, 110514378, 110514378, 12910722, 149392, 352, 1032, 1317720, 323712032, 8028037200 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

....0........0............2..............4..............14...............40

....0........2...........22............196............1848............16720

....2.......22..........740..........19376..........507986.........12910722

....4......196........19376........1476500.......110514378.......8028037200

...14.....1848.......507986......110514378.....23500346624....4849917013896

...40....16720.....12910722.....8028037200...4849917013896.2840019147221278

..120...149392....323712032...573336320344.982389352238899

..352..1317720...8013623436.40364489132724

.1032.11508016.196400852184

.3008.99674848

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) for n>5

k=2: [order 12]

k=3: [order 36] for n>37

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A279322.

Sequence in context: A107902 A142974 A259856 * A123914 A285441 A088885

Adjacent sequences:  A279802 A279803 A279804 * A279806 A279807 A279808

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2016

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 July 26 20:32 EDT 2021. Contains 346295 sequences. (Running on oeis4.)