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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 05 2015
STATUS
approved