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A183885 Number of arrangements of n+3 numbers in 0..2 with each number being the sum mod 3 of three others. 1
1, 121, 631, 2059, 6399, 19483, 58807, 176859, 531103, 1593931, 4782519, 14348395, 43046143, 129139515, 387419767, 1162260667, 3486783519, 10460352235, 31381058551, 94143177675, 282429535231, 847288608091, 2541865826871 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 2 of A183892.
LINKS
FORMULA
Empirical (for n>=3): 3^(n+3) - 2*(n+4)^2. - Vaclav Kotesovec, Nov 27 2012
Conjectures from Colin Barker, Apr 05 2018: (Start)
G.f.: x*(1 + 115*x - 83*x^2 - 285*x^3 + 410*x^4 - 150*x^5) / ((1 - x)^3*(1 - 3*x)).
a(n) = 6*a(n-1) - 12*a(n-2) + 10*a(n-3) - 3*a(n-4) for n>6.
(End)
EXAMPLE
Some solutions for n=4:
..0....2....2....2....2....1....2....0....2....1....2....1....0....0....2....2
..0....1....0....2....2....2....0....1....1....2....1....2....1....2....2....1
..1....1....2....0....1....0....2....1....1....2....2....1....1....0....0....1
..2....0....1....0....1....1....2....1....2....1....0....0....2....2....2....1
..1....1....1....1....1....0....1....0....1....2....2....0....0....2....0....0
..2....1....0....1....1....1....2....2....1....1....2....1....0....2....2....1
..0....0....2....2....0....0....1....0....0....1....2....2....0....1....0....1
CROSSREFS
Cf. A183892.
Sequence in context: A296127 A307798 A204034 * A036306 A014749 A262051
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 07 2011
STATUS
approved

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Last modified February 21 15:08 EST 2024. Contains 370236 sequences. (Running on oeis4.)