A221351 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops

0, 0, 0, 0, 1, 0, 0, 18, 7, 0, 0, 148, 370, 38, 0, 0, 1164, 12296, 6893, 190, 0, 0, 8824, 364868, 938070, 122690, 918, 0, 0, 65932, 10612940, 103485930, 68449305, 2152076, 4367, 0, 0, 489456, 304064432, 11446121074, 27908486602, 4937698670, 37541550

Offset

1,8

Comments

Table starts

.0.....0........0..........0...........0...........0.............0..........0

.0.....1.......18........148........1164........8824.........65932.....489456

.0.....7......370......12296......364868....10612940.....304064432.8672312531

.0....38.....6893.....938070...103485930.11446121074.1234879060395

.0...190...122690...68449305.27908486602

.0...918..2152076.4937698670

.0..4367.37541550

.0.20623

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Column 2 is A217340

Sequence in context: A038642 A040311 A340614 * A078085 A069951 A097534

Adjacent sequences: A221348 A221349 A221350 * A221352 A221353 A221354

Keyword

nonn,tabl

Author

R. H. Hardin Jan 11 2013

Status

approved