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

1305, 15395, 24951, 175204, 510488, 488880, 2045858, 10339272, 17431462, 9644050, 23788014, 211956317, 610768407, 598576435, 190273279, 277324636, 4399478503, 21483285845, 36248318755, 20541757032, 3754660940, 3231587589, 91508212229

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

R. H. Hardin, Table of n, a(n) for n = 1..39

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

Adjacent sequences: A252841 A252842 A252843 * A252845 A252846 A252847

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 22 2014

Status

approved