A282271 - OEIS

A282271

Number of nX3 0..2 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

5, 121, 2992, 75413, 1899634, 47863268, 1205981686, 30386443928, 765630552308, 19291173599548, 486069136767792, 12247217864778912, 308586441935421320, 7775283594972263888, 195909562984166148304, 4936225978108593107312

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 3 of A282275.

LINKS

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

FORMULA

Empirical: a(n) = 22*a(n-1) +82*a(n-2) +26*a(n-3) -1424*a(n-4) -3984*a(n-5) -1096*a(n-6) +20704*a(n-7) +29376*a(n-8) +22080*a(n-9) +2304*a(n-10) for n>11

EXAMPLE

Some solutions for n=4

..0..1..0. .0..1..2. .0..1..2. .0..1..0. .0..0..0. .0..1..0. .0..0..1

..1..0..0. .0..1..2. .1..2..2. .0..2..1. .1..1..0. .0..2..0. .0..2..1

..1..1..0. .0..2..2. .1..0..0. .1..0..2. .0..2..0. .1..0..0. .1..1..1

..2..0..2. .2..0..1. .2..2..0. .0..1..1. .0..1..0. .1..1..2. .0..2..0

CROSSREFS

Cf. A282275.

Sequence in context: A128275 A028448 A108791 * A179299 A012179 A012026

Adjacent sequences: A282268 A282269 A282270 * A282272 A282273 A282274

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 10 2017

STATUS

approved