A275347 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

5, 81, 288, 1024, 4100, 16956, 70272, 291320, 1211092, 5070832, 21255328, 89170864, 374453028, 1574982464, 6627474512, 27898519192, 117476409700, 494869331248, 2084962994672, 8785404327328, 37022705828932, 156033713723616

Offset

1,1

Comments

Column 3 of A275352.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +12*a(n-2) -48*a(n-3) +66*a(n-4) -210*a(n-5) -1120*a(n-6) +4028*a(n-7) -93*a(n-8) -4098*a(n-9) +27840*a(n-10) -78748*a(n-11) -37816*a(n-12) +204592*a(n-13) -97088*a(n-14) -576*a(n-15) +25984*a(n-16) -12544*a(n-17) for n>20

Example

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

Crossrefs

Cf. A275352.

Sequence in context: A373855 A189443 A275091 * A110257 A370197 A335177

Adjacent sequences: A275344 A275345 A275346 * A275348 A275349 A275350

Keyword

nonn

Author

R. H. Hardin, Jul 24 2016

Status

approved