A277768 Number of 3Xn 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, 2, 17, 204, 1989, 21141, 220549, 2292380, 23911889, 249253583, 2597767946, 27078215723, 282249897665, 2942003150449, 30665850885332, 319644266438138, 3331797339053418, 34728844714392948, 361994612635214032

Offset

1,2

Comments

Row 3 of A277767.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -a(n-2) +10*a(n-3) -648*a(n-4) -323*a(n-5) +2443*a(n-6) +9234*a(n-7) -2121*a(n-8) +1974*a(n-9) -6288*a(n-10) +2781*a(n-11) -4959*a(n-12) +757*a(n-13) -898*a(n-14) +2180*a(n-15) +116*a(n-16) +44*a(n-17) -288*a(n-18)

Example

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

Crossrefs

Cf. A277767.

Sequence in context: A378690 A234461 A363495 * A364335 A364446 A333990

Adjacent sequences: A277765 A277766 A277767 * A277769 A277770 A277771

Keyword

nonn

Author

R. H. Hardin, Oct 29 2016

Status

approved