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A184449 1/36 the number of (n+2) X 3 0..2 arrays with each 3 X 3 subblock containing two of one value, two of another, and five of the last. 1
63, 234, 864, 3159, 12879, 51759, 203391, 898857, 3877551, 16120377, 75287475, 340653681, 1468371483, 7083577089, 32959439379, 145024403049, 711949718619, 3363197265009, 14961791864691, 74118576012057, 352900936009611 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A184457.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 3*a(n-1) + 162*a(n-3) - 486*a(n-4) - 5832*a(n-6) + 17496*a(n-7).

Empirical g.f.: 9*x*(7 + 5*x + 18*x^2 - 1071*x^3 - 432*x^4 - 1458*x^5 + 35964*x^6) / ((1 - 3*x)*(1 - 54*x^3)*(1 - 108*x^3)). - Colin Barker, Apr 12 2018

EXAMPLE

Some solutions with a(1,1)=0 for 4 X 3:

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

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

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

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

CROSSREFS

Cf. A184457.

Sequence in context: A083079 A230651 A184457 * A158676 A157948 A326388

Adjacent sequences:  A184446 A184447 A184448 * A184450 A184451 A184452

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2011

STATUS

approved

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Last modified October 29 13:17 EDT 2020. Contains 338066 sequences. (Running on oeis4.)