A282230 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 9506, 9506, 0, 0, 0, 0, 329630, 1077872, 329630, 0, 0, 0, 0, 10549476, 107299718, 107299718, 10549476, 0, 0, 0, 0, 322266792, 9825363032, 30554083556, 9825363032, 322266792, 0, 0, 0, 0, 9542402912

Offset

1,13

Comments

Table starts

.0.0.........0............0................0................0................0

.0.0.........0............0................0................0................0

.0.0.......240.........9506...........329630.........10549476........322266792

.0.0......9506......1077872........107299718.......9825363032.....858207069508

.0.0....329630....107299718......30554083556....7991964336476.1992808557330302

.0.0..10549476...9825363032....7991964336476.5967754731205544

.0.0.322266792.858207069508.1992808557330302

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = a(n-1)

k=3: [order 20] for n>21

Example

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

Crossrefs

Sequence in context: A221327 A221302 A072173 * A015161 A298833 A298621

Adjacent sequences: A282227 A282228 A282229 * A282231 A282232 A282233

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 09 2017

Status

approved