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!)
A238929 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors 12
12, 116, 36, 782, 864, 144, 5008, 13090, 13456, 540, 34302, 191086, 611524, 176224, 2052, 238418, 3025468, 25080064, 22636472, 2391340, 7776, 1646042, 48511734, 1176627204, 2531484558, 873385842, 32225410, 29484, 11326068, 773430790 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....12........116............782...............5008..................34302

.....36........864..........13090.............191086................3025468

....144......13456.........611524...........25080064.............1176627204

....540.....176224.......22636472.........2531484558...........330899764092

...2052....2391340......873385842.......265992385206.........98434762200590

...7776...32225410....33476445936.....27816714540010......29028870095730324

..29484..434883190..1285018853980...2912187511240098....8576772023696061986

.111780.5866480970.49292627209040.304661966072695432.2532114793289297959122

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..83

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +3*a(n-2)

k=2: [order 29]

Empirical for row n:

n=1: [linear recurrence of order 18]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A307820 A154247 A016204 * A166777 A027285 A238930

Adjacent sequences:  A238926 A238927 A238928 * A238930 A238931 A238932

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 07 2014

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 September 20 07:32 EDT 2021. Contains 347577 sequences. (Running on oeis4.)