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A252844 T(n,k)=Number of (n+2)X(k+2) 0..3 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 7
1305, 15395, 24951, 175204, 510488, 488880, 2045858, 10339272, 17431462, 9644050, 23788014, 211956317, 610768407, 598576435, 190273279, 277324636, 4399478503, 21483285845, 36248318755, 20541757032, 3754660940, 3231587589, 91508212229 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
..........1305..........15395..........175204.........2045858........23788014
.........24951.........510488........10339272.......211956317......4399478503
........488880.......17431462.......610768407.....21483285845....777477410236
.......9644050......598576435.....36248318755...2207250617866.140063220191585
.....190273279....20541757032...2154288643145.227032633146768
....3754660940...705111416679.127991617429929
...74090662687.24203999575311
.1462043624070
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 52] for n>53
Empirical for row n:
n=1: [linear recurrence of order 96] for n>99
EXAMPLE
Some solutions for n=1 k=4
..0..0..1..1..2..1....0..0..1..1..2..2....0..0..0..0..1..0....0..0..1..1..1..2
..0..0..3..3..2..3....2..0..0..3..3..1....2..0..0..1..0..1....1..0..1..1..0..0
..1..1..0..0..1..1....0..2..2..1..1..3....1..2..2..1..1..2....3..3..0..0..0..0
CROSSREFS
Sequence in context: A014356 A252308 A277772 * A252845 A252841 A255025
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 22 2014
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)