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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. 1
0, 1, 4, 47, 356, 2928, 23375, 189336, 1527478, 12337033, 99602551, 804255016, 6493758388, 52432856602, 423359381522, 3418341656804, 27600793196651, 222857733607580, 1799425381845099, 14529142393886177, 117312993383783121 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 23 00:59 EDT 2019. Contains 326211 sequences. (Running on oeis4.)