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A209823 Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having one or two distinct values, and new values 0..2 introduced in row major order. 1
41, 425, 4418, 46034, 479693, 4998707, 52089776, 542809448, 5656428659, 58943677889, 614231589110, 6400693994414, 66699408393545, 695051362232495, 7242888771829388, 75475627574620628, 786505293293909615 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A209829.
LINKS
FORMULA
Empirical: a(n) = 12*a(n-1) - 16*a(n-2) - 6*a(n-3) + 13*a(n-4) - 2*a(n-5).
Empirical g.f.: x*(41 - 67*x - 26*x^2 + 64*x^3 - 10*x^4) / ((1 - x)*(1 - 11*x + 5*x^2 + 11*x^3 - 2*x^4)). - Colin Barker, Jul 13 2018
EXAMPLE
Some solutions for n=4:
..0..0..0....0..0..1....0..0..0....0..0..1....0..1..2....0..1..0....0..1..0
..0..1..0....2..0..0....0..0..0....1..1..0....0..1..2....0..0..1....1..1..0
..0..0..0....0..2..2....0..0..0....1..0..1....0..1..1....1..0..0....0..0..0
..1..0..1....0..0..2....1..0..0....0..1..0....0..1..2....0..1..0....0..0..0
..0..0..0....0..2..2....0..0..2....0..1..1....0..1..1....0..1..0....1..1..0
CROSSREFS
Cf. A209829.
Sequence in context: A196807 A267325 A083761 * A196784 A112748 A173768
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 13 2012
STATUS
approved

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Last modified July 19 22:34 EDT 2024. Contains 374441 sequences. (Running on oeis4.)