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A221352 Number of 2 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops. 1
0, 1, 18, 148, 1164, 8824, 65932, 489456, 3622896, 26780480, 197840840, 1461141856, 10789799120, 79672591776, 588291947152, 4343817165312, 32073601733504, 236822417610560, 1748627793559200, 12911351644960960, 95333587133290624 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Row 2 of A221351.
LINKS
FORMULA
Empirical: a(n) = 11*a(n-1) -26*a(n-2) -10*a(n-3) +34*a(n-4) +14*a(n-5) -16*a(n-6) -8*a(n-7).
Empirical g.f.: x^2*(1 + 7*x - 24*x^2 + 14*x^3 + 14*x^4 - 14*x^5) / (1 - 11*x + 26*x^2 + 10*x^3 - 34*x^4 - 14*x^5 + 16*x^6 + 8*x^7). - Colin Barker, Feb 12 2018
EXAMPLE
Some solutions for n=3:
..0..3..1....1..3..1....1..1..0....0..1..1....0..3..1....1..1..0....0..1..1
..0..1..1....0..1..0....1..3..0....1..3..0....1..1..0....0..3..1....0..3..1
CROSSREFS
Sequence in context: A036397 A247741 A224329 * A271755 A197214 A027182
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 11 2013
STATUS
approved

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Last modified April 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)