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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A232908 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally 16
0, 10, 4, 52, 34, 8, 82, 320, 194, 12, 432, 2958, 4928, 1034, 32, 2372, 27692, 68310, 62276, 4986, 84, 8456, 250934, 1825972, 1827866, 761860, 24498, 184, 29970, 2338508, 39641548, 115154048, 49501666, 9880580, 122994, 412, 132972, 21159320 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....0.......10...........52..............82.................432

....4.......34..........320............2958...............27692

....8......194.........4928...........68310.............1825972

...12.....1034........62276.........1827866...........115154048

...32.....4986.......761860........49501666..........7517844304

...84....24498......9880580......1295371950........485354122160

..184...122994....123587140.....34359557398......31320663237216

..412...613658...1571314692....911287659098....2024849938767040

..976..3048362..19864803028..24111990771426..130826030730696144

.2276.15169602.251467184100.638690599346926.8452502440791870368

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) -a(n-2) +4*a(n-3)

k=2: a(n) = 4*a(n-1) -a(n-2) +26*a(n-3) +16*a(n-4)

k=3: [order 8]

k=4: [order 18]

k=5: [order 34] for n>35

k=6: [order 75] for n>77

Empirical for row n:

n=1: a(n) = 4*a(n-2) +28*a(n-3) +80*a(n-4) +48*a(n-5) -67*a(n-6) -228*a(n-7) -224*a(n-8)

n=2: [order 29] for n>30

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A094580 A192027 A180866 * A216653 A267180 A038306

Adjacent sequences:  A232905 A232906 A232907 * A232909 A232910 A232911

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 02 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 22 04:27 EST 2020. Contains 331133 sequences. (Running on oeis4.)