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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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences:  A232128 A232129 A232130 * A232132 A232133 A232134

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2013

STATUS

approved

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Last modified May 8 13:26 EDT 2021. Contains 343666 sequences. (Running on oeis4.)