A275086 Number of nX4 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

6, 96, 508, 3088, 18440, 111900, 675600, 4094240, 24794560, 150165020, 909361668, 5507667148, 33356744732, 202019640344, 1223500857956, 7410005643024, 44877800876060, 271796556988084, 1646101595999968, 9969411699754184

Offset

1,1

Comments

Column 4 of A275090.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +8*a(n-2) +46*a(n-3) +133*a(n-4) -64*a(n-5) -492*a(n-6) -520*a(n-7) +568*a(n-8) -1592*a(n-9) +1156*a(n-10) +1328*a(n-11) -4992*a(n-12) +1440*a(n-13) +3456*a(n-14) for n>15

Example

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

Crossrefs

Cf. A275090.

Sequence in context: A275561 A116289 A116256 * A222971 A196813 A179058

Adjacent sequences: A275083 A275084 A275085 * A275087 A275088 A275089

Keyword

nonn

Author

R. H. Hardin, Jul 16 2016

Status

approved