A282227 Number of nX3 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, 240, 9506, 329630, 10549476, 322266792, 9542402912, 276273058272, 7864096497640, 220899600335616, 6139162615626000, 169129648593328224, 4625418051157950944, 125714397554778912064, 3398615150805414408480

Offset

1,3

Comments

Column 3 of A282230.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 44*a(n-1) -320*a(n-2) -3556*a(n-3) -10716*a(n-4) +50424*a(n-5) +405964*a(n-6) +817056*a(n-7) -2493088*a(n-8) -15933280*a(n-9) -25854848*a(n-10) +44982016*a(n-11) +245905088*a(n-12) +342215168*a(n-13) -181768192*a(n-14) -1149643776*a(n-15) -1772187648*a(n-16) -1392648192*a(n-17) -622891008*a(n-18) -101744640*a(n-19) -5308416*a(n-20) for n>21

Example

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

Crossrefs

Cf. A282230.

Sequence in context: A252183 A251434 A187167 * A268902 A232994 A023906

Adjacent sequences: A282224 A282225 A282226 * A282228 A282229 A282230

Keyword

nonn

Author

R. H. Hardin, Feb 09 2017

Status

approved