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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269152 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once. 8
0, 4, 4, 24, 80, 24, 108, 768, 768, 108, 432, 6224, 13904, 6224, 432, 1620, 46464, 220968, 220968, 46464, 1620, 5832, 330192, 3277728, 7002040, 3277728, 330192, 5832, 20412, 2270592, 46576336, 208984848, 208984848, 46576336, 2270592, 20412 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

......0.........4............24..............108.................432

......4........80...........768.............6224...............46464

.....24.......768.........13904...........220968.............3277728

....108......6224........220968..........7002040...........208984848

....432.....46464.......3277728........208984848.........12637025328

...1620....330192......46576336.......6004186984........738478504448

...5832...2270592.....642676704.....167970539096......42119837369168

..20412..15251152....8680278136....4607603633440....2359047063894464

..69984.100647168..115349343264..124496158984840..130272136732736736

.236196.655139152.1513379596864.3323815506994632.7113223023541150960

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -9*a(n-2)

k=2: a(n) = 12*a(n-1) -38*a(n-2) +12*a(n-3) -a(n-4) for n>5

k=3: [order 8] for n>9

k=4: [order 20] for n>22

k=5: [order 42] for n>45

EXAMPLE

Some solutions for n=3 k=4

..2..2..3..1. .0..2..2..2. .2..0..1..1. .0..3..3..1. .2..2..3..3

..3..2..3..3. .3..3..3..2. .2..0..1..0. .1..1..3..1. .3..3..1..2

..0..2..3..3. .3..2..2..2. .1..0..0..2. .3..3..3..1. .2..3..3..3

CROSSREFS

Column 1 is A120908.

Sequence in context: A269186 A058166 A092897 * A269097 A307552 A171633

Adjacent sequences:  A269149 A269150 A269151 * A269153 A269154 A269155

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 20 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 5 10:15 EST 2020. Contains 338945 sequences. (Running on oeis4.)