A282052 Number of nX3 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

5, 91, 388, 2754, 15543, 95045, 565516, 3403942, 20376721, 122289647, 733098748, 4396826192, 26365158075, 158109533895, 948134350746, 5685760820682, 34096069541771, 204466107676961, 1226133592322532, 7352829389541922

Offset

1,1

Comments

Column 3 of A282056.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +15*a(n-2) -11*a(n-3) -30*a(n-4) -59*a(n-5) -66*a(n-6) -216*a(n-7) -348*a(n-8) +580*a(n-9) +812*a(n-10) +488*a(n-11) -112*a(n-12) -1712*a(n-13) +272*a(n-14) +192*a(n-15) +192*a(n-16) for n>18

Example

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

Crossrefs

Cf. A282056.

Sequence in context: A216693 A158073 A038636 * A152299 A355371 A242945

Adjacent sequences: A282049 A282050 A282051 * A282053 A282054 A282055

Keyword

nonn

Author

R. H. Hardin, Feb 05 2017

Status

approved