A277654 Number of nX3 0..2 arrays with every element equal to some element at offset (-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, 1, 4, 47, 356, 2928, 23375, 189336, 1527478, 12337033, 99602551, 804255016, 6493758388, 52432856602, 423359381522, 3418341656804, 27600793196651, 222857733607580, 1799425381845099, 14529142393886177, 117312993383783121

Offset

1,3

Comments

Column 3 of A277659.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -13*a(n-2) -35*a(n-3) +149*a(n-4) -336*a(n-5) +484*a(n-6) +1398*a(n-7) -4678*a(n-8) +2229*a(n-9) +6806*a(n-10) -11958*a(n-11) +8297*a(n-12) -1329*a(n-13) -2425*a(n-14) +1660*a(n-15) -214*a(n-16) +36*a(n-17) +12*a(n-18) -284*a(n-19) +338*a(n-20) -52*a(n-21) -104*a(n-22) +40*a(n-23)

Example

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

Crossrefs

Cf. A277659.

Sequence in context: A006422 A301278 A186677 * A247767 A278267 A309329

Adjacent sequences: A277651 A277652 A277653 * A277655 A277656 A277657

Keyword

nonn

Author

R. H. Hardin, Oct 26 2016

Status

approved