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!)
A269143 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once. 8
4, 16, 16, 60, 148, 60, 216, 1164, 1164, 216, 756, 8532, 18556, 8532, 756, 2592, 59916, 275796, 275796, 59916, 2592, 8748, 408596, 3924212, 8317996, 3924212, 408596, 8748, 29160, 2727564, 54199284, 240647068, 240647068, 54199284, 2727564, 29160 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......4........16............60..............216.................756

.....16.......148..........1164.............8532...............59916

.....60......1164.........18556...........275796.............3924212

....216......8532........275796..........8317996...........240647068

....756.....59916.......3924212........240647068.........14197016484

...2592....408596......54199284.......6766301156........815458664276

...8748...2727564.....732561916.....186315931804......45920055321732

..29160..17914580....9740150372....5049212790572....2546667557472940

..96228.116170764..127846717716..135126561336764..139535357045338964

.314928.745617300.1660741102212.3579710280903028.7570570235882777884

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

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

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

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

CROSSREFS

Column 1 is A120926(n+1).

Sequence in context: A207479 A207535 A269194 * A269109 A269201 A269289

Adjacent sequences:  A269140 A269141 A269142 * A269144 A269145 A269146

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 May 16 04:53 EDT 2021. Contains 343937 sequences. (Running on oeis4.)