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A232131 Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order. 1
36, 728, 14752, 298912, 6056640, 122721280, 2486611712, 50384397824, 1020902270976, 20685797427200, 419141212008448, 8492752393142272, 172082441775661056, 3486780892303556608, 70650095765044723712 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 22*a(n-1) - 36*a(n-2) + 16*a(n-3).
Empirical g.f.: 4*x*(9 - 16*x + 8*x^2) / (1 - 22*x + 36*x^2 - 16*x^3). - Colin Barker, Oct 03 2018
EXAMPLE
Some solutions for n=4:
..0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0
..1..0..0....0..1..0....1..0..2....0..0..2....0..1..0....0..1..1....1..0..1
..1..2..1....1..2..0....0..1..0....2..2..1....0..0..2....1..0..0....2..1..2
..0..1..2....0..2..0....2..0..1....0..2..1....1..2..1....1..2..2....0..0..1
..2..0..2....2..1..0....0..1..2....1..0..1....0..1..0....1..0..2....1..0..2
CROSSREFS
Column 2 of A232137.
Sequence in context: A185491 A220758 A054339 * A138832 A223998 A109405
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 19 2013
STATUS
approved

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Last modified June 24 19:44 EDT 2024. Contains 373690 sequences. (Running on oeis4.)