A252882 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order

510, 3847, 3102, 28474, 25227, 18931, 211881, 206314, 175360, 116455, 1575377, 1723377, 1769486, 1284278, 717426, 11720268, 14424475, 18443090, 16537346, 9590968, 4422437, 87198323, 120914908, 194162037, 225544537, 160464987

Offset

1,1

Comments

Table starts

........510........3847........28474.......211881.......1575377......11720268

.......3102.......25227.......206314......1723377......14424475.....120914908

......18931......175360......1769486.....18443090.....194162037....2048947027

.....116455.....1284278.....16537346....225544537....3149891207...44167941250

.....717426.....9590968....160464987...2937661429...55869292808.1063774566780

....4422437....71744739...1568328517..38915852537.1012679185415

...27268086...538250710..15405629778.519647556034

..168141437..4042792083.151688062643

.1036853114.30378440984

.6393927528

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 48]

Empirical for row n:

n=1: [linear recurrence of order 29]

Example

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

Crossrefs

Sequence in context: A248790 A252877 A202595 * A252883 A196674 A260598

Adjacent sequences: A252879 A252880 A252881 * A252883 A252884 A252885

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 24 2014

Status

approved