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A185883 1/729 the number of (n+2) X 3 0..2 arrays with no 3 X 3 subblock trace equal to any horizontal or vertical neighbor 3 X 3 subblock trace. 1
27, 588, 12900, 282672, 6195480, 135783240, 2975926392, 65222436072, 1429460497272, 31329049201704, 686629243183416, 15048644047773288, 329816550981847032, 7228488945306025128, 158424591792311309496 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A185891.
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) + 221*a(n-2) + 846*a(n-3) + 756*a(n-4).
Empirical g.f.: 3*x*(9 + 106*x + 351*x^2 + 294*x^3) / (1 - 10*x - 221*x^2 - 846*x^3 - 756*x^4). - Colin Barker, Apr 17 2018
EXAMPLE
Some solutions for 4 X 3:
..0..1..1....0..1..1....0..0..1....0..0..1....0..0..0....0..0..1....0..1..1
..0..1..0....1..1..1....1..2..0....1..0..0....1..1..1....0..0..1....1..0..0
..0..0..1....0..2..0....0..2..0....1..0..0....2..2..1....2..2..2....1..0..1
..1..2..1....1..0..2....0..0..2....0..2..1....0..0..1....2..1..2....0..1..1
CROSSREFS
Cf. A185891.
Sequence in context: A076008 A232944 A185891 * A212670 A099753 A231292
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 05 2011
STATUS
approved

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Last modified April 16 16:13 EDT 2024. Contains 371749 sequences. (Running on oeis4.)