A252993 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order

202, 829, 829, 3548, 4315, 3548, 15395, 24001, 24001, 15395, 66914, 136697, 176608, 136697, 66914, 291448, 782043, 1350439, 1350439, 782043, 291448, 1269628, 4486592, 10388030, 14090659, 10388030, 4486592, 1269628, 5531792, 25761550

Offset

1,1

Comments

Table starts

......202.......829........3548.........15395..........66914..........291448

......829......4315.......24001........136697.........782043.........4486592

.....3548.....24001......176608.......1350439.......10388030........80232248

....15395....136697.....1350439......14090659......147972602......1564485159

....66914....782043....10388030.....147972602.....2130083253.....30940948009

...291448...4486592....80232248....1564485159....30940948009....618832488265

..1269628..25761550...620852707...16592413774...451039578594..12432368877884

..5531792.147992920..4808767844..176117806795..6583353528238.250255753857694

.24108466.850428880.37257749515.1870443952223.96167118477959

Links

R. H. Hardin, Table of n, a(n) for n = 1..92

Formula

Empirical for column k:

k=1: [linear recurrence of order 52]

Example

Some solutions for n=3 k=4
..0..0..1..1..2..1....0..0..1..0..0..1....0..0..1..0..0..1....0..0..1..1..0..1
..0..2..2..0..2..2....1..0..1..1..0..1....0..0..1..1..0..0....0..2..2..1..2..2
..2..0..2..0..0..1....0..2..2..1..1..2....1..1..0..0..2..0....2..0..2..2..0..2
..2..2..1..1..2..1....0..0..2..2..0..2....0..1..1..0..0..1....2..2..1..1..0..0
..0..0..2..0..2..0....1..2..1..1..0..1....1..0..1..1..0..0....1..2..2..1..1..2

Crossrefs

Sequence in context: A356881 A235082 A260280 * A252987 A229640 A221892

Adjacent sequences: A252990 A252991 A252992 * A252994 A252995 A252996

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 25 2014

Status

approved