A275396 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2.

5, 54, 84, 178, 394, 1017, 2645, 6980, 18464, 48959, 129079, 340418, 895555, 2359728, 6219251, 16402499, 43261910, 114071354, 300754298, 792805040, 2090067487, 5510137826, 14527552687, 38302379482, 100983905166, 266240696535

Offset

1,1

Comments

Column 3 of A275401.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +4*a(n-2) -19*a(n-3) +a(n-4) +65*a(n-5) -47*a(n-6) -99*a(n-7) +83*a(n-8) +66*a(n-9) -4*a(n-10) -60*a(n-11) -73*a(n-12) +36*a(n-13) +121*a(n-14) -88*a(n-15) +13*a(n-16) +8*a(n-17) -19*a(n-18) +20*a(n-19) -7*a(n-20) -a(n-21) +2*a(n-22) -a(n-23) +a(n-24) for n>28

Example

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

Crossrefs

Cf. A275401.

Sequence in context: A093674 A129664 A275499 * A275261 A208429 A275353

Adjacent sequences: A275393 A275394 A275395 * A275397 A275398 A275399

Keyword

nonn

Author

R. H. Hardin, Jul 26 2016

Status

approved