login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons 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 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A231343 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order 7
3, 4, 4, 7, 9, 7, 12, 22, 22, 12, 24, 59, 96, 59, 24, 48, 159, 453, 453, 159, 48, 103, 439, 2302, 3572, 2302, 439, 103, 222, 1236, 12052, 30269, 30269, 12052, 1236, 222, 493, 3527, 65326, 259011, 465033, 259011, 65326, 3527, 493, 1100, 10184, 358429 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....3.....4........7........12.........24.........48........103..........222

....4.....9.......22........59........159........439.......1236.........3527

....7....22.......96.......453.......2302......12052......65326.......358429

...12....59......453......3572......30269.....259011....2278003.....20081717

...24...159.....2302.....30269.....465033....6871838..105988195...1613424264

...48...439....12052....259011....6871838..169968099.4400551358.111907856129

..103..1236....65326...2278003..105988195.4400551358

..222..3527...358429..20081717.1613424264

..493.10184..1989453.178468093

.1100.29679.11087559

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +a(n-2) -7*a(n-3) +a(n-4) +3*a(n-5)

k=2: a(n) = 5*a(n-1) -6*a(n-2) +2*a(n-3) -8*a(n-4) +6*a(n-5) -a(n-6) +3*a(n-7)

k=3: [order 34]

k=4: [order 97] for n>98

EXAMPLE

Some solutions for n=4 k=4

..0..0..0..0..0....0..0..0..0..0....0..0..1..1..1....0..1..1..1..1

..1..1..0..0..0....0..0..1..1..1....0..0..1..1..1....0..1..1..1..1

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

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

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

CROSSREFS

Sequence in context: A014406 A154426 A231219 * A121924 A241740 A342332

Adjacent sequences:  A231340 A231341 A231342 * A231344 A231345 A231346

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 07 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 December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)