A277783 Number of nX3 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.

0, 12, 80, 1434, 20663, 309612, 4604554, 68632481, 1022176517, 15228316440, 226848548570, 3379346295547, 50341485804399, 749929176699858, 11171570766745821, 166421064692483298, 2479147307681739840

Offset

1,2

Comments

Column 3 of A277788.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +55*a(n-2) -86*a(n-3) -1166*a(n-4) -3296*a(n-5) +6405*a(n-6) +31762*a(n-7) +62850*a(n-8) -182720*a(n-9) +47716*a(n-10) -74965*a(n-11) -16995*a(n-12) +55278*a(n-13) -16503*a(n-14) +2784*a(n-15) -82768*a(n-16) -6435*a(n-17) -13073*a(n-18) +3311*a(n-19) +3798*a(n-20) +906*a(n-21) +948*a(n-22) -524*a(n-23) for n>24

Example

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

Crossrefs

Cf. A277788.

Sequence in context: A058962 A203486 A187011 * A009500 A012195 A147650

Adjacent sequences: A277780 A277781 A277782 * A277784 A277785 A277786

Keyword

nonn

Author

R. H. Hardin, Oct 31 2016

Status

approved