A277762 Number of n X 3 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.

0, 4, 17, 330, 3666, 46289, 560809, 6883464, 84161576, 1030163755, 12605295745, 154256946272, 1887655962034, 23099627259711, 282674025688925, 3459132503499606, 42330011144976582, 517999809756567289

Offset

1,2

Comments

Column 3 of A277767.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) +15*a(n-2) -6*a(n-3) +164*a(n-4) -947*a(n-5) +1147*a(n-6) +106*a(n-7) -215*a(n-8) -374*a(n-9) -134*a(n-10) +168*a(n-11).

Example

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

Crossrefs

Cf. A277767.

Sequence in context: A302145 A015489 A153061 * A337477 A041701 A347721

Adjacent sequences: A277759 A277760 A277761 * A277763 A277764 A277765

Keyword

nonn

Author

R. H. Hardin, Oct 29 2016

Status

approved