A238515 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..3 introduced in row major order

4, 25, 25, 295, 401, 295, 3113, 14407, 14407, 3113, 33837, 430504, 2074468, 430504, 33837, 365740, 13398587, 232354383, 232354383, 13398587, 365740, 3958594, 413256106, 27474561391, 91551538363, 27474561391, 413256106, 3958594

Offset

1,1

Comments

Table starts

......4........25...........295..............3113................33837

.....25.......401.........14407............430504.............13398587

....295.....14407.......2074468.........232354383..........27474561391

...3113....430504.....232354383.......91551538363.......38584530824835

..33837..13398587...27474561391....38584530824835....58732288304220246

.365740.413256106.3210307720768.16025158797901442.87855481702558599272

Links

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

Formula

Empirical for column k:

k=1: a(n) = 10*a(n-1) +13*a(n-2) -44*a(n-3) -7*a(n-4) +14*a(n-5)

k=2: [order 14]

k=3: [order 9]

Example

Some solutions for n=2 k=4
..0..1..0..2..0....0..1..0..0..2....0..1..0..2..0....0..1..1..0..2
..3..0..3..0..2....2..3..3..2..3....2..0..3..1..3....3..2..0..3..1
..0..1..2..2..3....0..1..2..0..2....3..2..1..3..2....2..3..2..2..3

Crossrefs

Sequence in context: A281471 A107734 A302624 * A043067 A289273 A309056

Adjacent sequences: A238512 A238513 A238514 * A238516 A238517 A238518

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 27 2014

Status

approved