login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A230614 T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 11
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 30, 0, 0, 0, 0, 30, 260, 348, 0, 0, 0, 0, 108, 2358, 7072, 3956, 0, 0, 0, 0, 386, 20430, 149664, 186396, 44916, 0, 0, 0, 0, 1376, 176774, 3023532, 9244260, 4899200, 509978, 0, 0, 0, 0, 4902, 1527918, 61203362 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

.0.0.0.......0..........0.............0................0..................0

.0.0.0.......2..........8............30..............108................386

.0.0.0......30........260..........2358............20430.............176774

.0.0.0.....348.......7072........149664..........3023532...........61203362

.0.0.0....3956.....186396.......9244260........434369516........20503681466

.0.0.0...44916....4899200.....570014364......62312057642......6859445695566

.0.0.0..509978..128706852...35145166536....8937075346246...2294186499807542

.0.0.0.5790456.3381000336.2166884610178.1281770005911328.767293632652220616

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..239

FORMULA

Empirical for column k:

k=4: a(n) = 15*a(n-1) -45*a(n-2) +42*a(n-3) -12*a(n-4) +a(n-5)

k=5: a(n) = 31*a(n-1) -126*a(n-2) +42*a(n-3) +79*a(n-4) -a(n-5) +8*a(n-6) for n>7

k=6: [order 22] for n>23

k=7: [order 39] for n>41

Empirical for row n:

n=2: a(n) = 4*a(n-1) -a(n-2) -2*a(n-3) for n>4

n=3: [order 14] for n>17

n=4: [order 59] for n>63

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Row 2 is A230269(n-1)

Sequence in context: A107503 A350731 A184366 * A230730 A299905 A225783

Adjacent sequences: A230611 A230612 A230613 * A230615 A230616 A230617

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 25 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 23:32 EST 2022. Contains 358671 sequences. (Running on oeis4.)