A253615 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row and diagonal having one or two distinct values, and in every column and antidiagonal having two or three distinct values, and new values 0 upwards introduced in row major order

762, 6916, 8664, 61634, 131378, 97232, 551335, 1955619, 2501365, 1100582, 4928315, 29206325, 61983527, 48041910, 12433311, 44053769, 438592379, 1542279536, 1985951362, 920906077, 140520343, 393764260, 6586610559, 38837441580

Offset

1,1

Comments

Table starts

..........762..........6916..........61634..........551335.........4928315

.........8664........131378........1955619........29206325.......438592379

........97232.......2501365.......61983527......1542279536.....38837441580

......1100582......48041910.....1985951362.....82792688911...3506966814980

.....12433311.....920906077....63607608304...4447699041022.317272138741263

....140520343...17665509894..2039056588594.239233980672366

...1587933587..338854514523.65369339178316

..17945023519.6500005331011

.202792213952

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Formula

Empirical for column k:

k=1: [linear recurrence of order 38]

Empirical for row n:

n=1: [linear recurrence of order 80] for n>81

Example

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

Crossrefs

Sequence in context: A083643 A083644 A061225 * A253616 A253611 A326369

Adjacent sequences: A253612 A253613 A253614 * A253616 A253617 A253618

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 05 2015

Status

approved