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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A279466 T(n,k)=Number of nXk 0..1 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. 7
0, 0, 0, 2, 2, 2, 2, 6, 6, 2, 5, 20, 33, 20, 5, 8, 66, 180, 180, 66, 8, 15, 210, 1024, 1722, 1024, 210, 15, 26, 658, 5228, 15484, 15484, 5228, 658, 26, 46, 2036, 26670, 129914, 223261, 129914, 26670, 2036, 46, 80, 6236, 134438, 1079792, 3086910, 3086910 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

..0.....0.......2.........2...........5..............8...............15

..0.....2.......6........20..........66............210..............658

..2.....6......33.......180........1024...........5228............26670

..2....20.....180......1722.......15484.........129914..........1079792

..5....66....1024.....15484......223261........3086910.........41706415

..8...210....5228....129914.....3086910.......69493918.......1529974962

.15...658...26670...1079792....41706415.....1529974962......54755104784

.26..2036..134438...8845592...555052466....33126514762....1926654903560

.46..6236..670407..71540206..7290902341...707716447612...66854006751350

.80.18928.3310176.572555634.94741575142.14949807134092.2293311539588776

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) +a(n-2) -2*a(n-3) -a(n-4) for n>5

k=2: [order 10]

k=3: [order 36]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A006367(n-1).

Sequence in context: A238413 A151704 A110023 * A116863 A136494 A260188

Adjacent sequences:  A279463 A279464 A279465 * A279467 A279468 A279469

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 12 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 December 7 17:41 EST 2019. Contains 329847 sequences. (Running on oeis4.)