A278009 Number of nX3 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.

0, 28, 410, 7204, 121826, 2072344, 35217368, 598579468, 10173619772, 172914342028, 2938909630526, 49950690508336, 848978618084774, 14429524172090140, 245249012515926980, 4168334134059809248

Offset

1,2

Comments

Column 3 of A278014.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) +19*a(n-2) -38*a(n-3) +57*a(n-4) -146*a(n-5) +201*a(n-6) -264*a(n-7) -36*a(n-8) +144*a(n-9)

Example

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

Crossrefs

Cf. A278014.

Sequence in context: A323973 A121798 A238600 * A233333 A271793 A024213

Adjacent sequences: A278006 A278007 A278008 * A278010 A278011 A278012

Keyword

nonn

Author

R. H. Hardin, Nov 08 2016

Status

approved