A275180 Number of n X 5 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.

41, 256, 317, 482, 1465, 4603, 14643, 46799, 149772, 479722, 1538582, 4942028, 15891866, 51127466, 164489244, 529125544, 1701961499, 5474696445, 17611978722, 56660560468, 182287542046, 586443173365, 1886643497675, 6069534405199

Offset

1,1

Comments

Column 5 of A275183.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -120*a(n-2) +561*a(n-3) -1820*a(n-4) +4313*a(n-5) -7688*a(n-6) +10549*a(n-7) -11473*a(n-8) +10333*a(n-9) -8076*a(n-10) +5538*a(n-11) -3198*a(n-12) +1466*a(n-13) -508*a(n-14) +120*a(n-15) -12*a(n-16) for n > 21.

Example

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

Crossrefs

Cf. A275183.

Sequence in context: A140848 A063939 A239716 * A275128 A142113 A226041

Adjacent sequences: A275177 A275178 A275179 * A275181 A275182 A275183

Keyword

nonn

Author

R. H. Hardin, Jul 19 2016

Status

approved