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A275132 Number of 3 X n 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,0) or (-1,1) and new values introduced in order 0..2. 1
2, 12, 45, 174, 675, 2607, 10077, 38967, 150651, 582435, 2251827, 8706015, 33659139, 130132935, 503119779, 1945160703, 7520376939, 29075268471, 112410752211, 434602254687, 1680258482619, 6496212425799, 25115645192451, 97102063806447 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) + 2*a(n-2) + 6*a(n-3) - 2*a(n-4) - 4*a(n-5) for n>6.
Empirical g.f.: x*(2 + 6*x + 5*x^2 + 3*x^3 - 5*x^4 - 4*x^5) / ((1 + x + 2*x^2)*(1 - 4*x + 2*x^3)). - Colin Barker, Jan 31 2019
EXAMPLE
Some solutions for n=4:
..0..1..1..2. .0..0..0..1. .0..1..0..1. .0..1..1..1. .0..1..1..1
..2..2..0..0. .1..1..2..0. .2..2..2..2. .2..2..0..0. .2..2..0..0
..1..1..1..2. .0..0..1..1. .0..1..1..0. .0..1..2..2. .0..1..1..2
CROSSREFS
Row 3 of A275131.
Sequence in context: A371487 A356868 A267344 * A276294 A066258 A123771
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 17 2016
STATUS
approved

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Last modified July 14 13:51 EDT 2024. Contains 374318 sequences. (Running on oeis4.)