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A183426 Half the number of n X 3 0..2 arrays with no element equal its row sum plus its column sum mod 3. 1
9, 32, 256, 2097, 16384, 131072, 1048959, 8388608, 67108864, 536873985, 4294967296, 34359738368, 274877931519, 2199023255552, 17592186044416, 140737488551937, 1125899906842624, 9007199254740992, 72057594039500799 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A183429.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

FORMULA

Empirical: a(n) = 8*a(n-1) + 7*a(n-3) - 56*a(n-4) + 8*a(n-6) - 64*a(n-7).

Empirical g.f.: x*(9 - 40*x - 14*x^3 - 112*x^4 - 32*x^6) / ((1 + x)*(1 - 2*x)*(1 - 8*x)*(1 - x + x^2)*(1 + 2*x + 4*x^2)). - Colin Barker, Mar 29 2018

EXAMPLE

Some solutions for 4X3

..1..1..2....0..2..1....2..2..2....2..2..2....2..2..1....0..0..2....2..1..0

..1..0..1....1..0..0....1..0..0....0..1..1....1..2..1....1..2..0....2..1..1

..0..2..2....0..2..0....0..1..2....1..1..1....2..2..1....1..0..0....1..0..1

..2..2..1....1..0..2....1..0..0....0..2..2....2..2..1....0..1..2....1..0..2

CROSSREFS

Cf. A183429.

Sequence in context: A300773 A317279 A196016 * A061913 A264512 A231764

Adjacent sequences:  A183423 A183424 A183425 * A183427 A183428 A183429

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 04 2011

STATUS

approved

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Last modified August 14 13:55 EDT 2020. Contains 336481 sequences. (Running on oeis4.)