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A231436 Number of (n+2)X(3+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order 1
3, 8, 21, 54, 185, 561, 1943, 6756, 24003, 88488, 325775, 1225789, 4623559, 17568716, 67018935, 256235910, 982016953, 3767662049, 14470021611, 55610192696, 213805376253, 822314635406, 3163303832419, 12170737198879, 46831328979593 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A231441

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +12*a(n-2) -72*a(n-3) -81*a(n-4) +451*a(n-5) +368*a(n-6) -1550*a(n-7) -591*a(n-8) +2319*a(n-9) -679*a(n-10) -285*a(n-11) +4312*a(n-12) -2776*a(n-13) -9014*a(n-14) +6322*a(n-15) +7616*a(n-16) -11742*a(n-17) +4058*a(n-18) +8508*a(n-19) -8690*a(n-20) -710*a(n-21) +2637*a(n-22) -237*a(n-23) -180*a(n-24)

EXAMPLE

Some solutions for n=6

..0..0..1..1..1....0..0..1..1..1....0..0..0..0..0....0..0..0..1..1

..0..0..1..1..1....0..0..1..1..1....0..0..0..0..0....0..0..0..1..1

..0..0..0..1..1....0..0..0..1..1....1..1..0..0..0....0..0..1..1..1

..2..2..0..0..0....0..0..0..0..0....1..1..1..1..1....1..1..1..2..2

..2..2..2..0..0....0..0..0..0..0....1..1..1..1..1....1..1..2..2..2

..2..2..2..3..3....1..1..1..1..1....2..2..1..1..1....2..2..2..3..3

..2..2..3..3..3....1..1..1..1..1....2..2..2..2..2....2..2..3..3..3

..2..2..3..3..3....1..1..1..1..1....2..2..2..2..2....2..2..3..3..3

CROSSREFS

Sequence in context: A005580 A292619 A231222 * A027932 A084625 A088305

Adjacent sequences:  A231433 A231434 A231435 * A231437 A231438 A231439

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 09 2013

STATUS

approved

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Last modified June 14 12:04 EDT 2021. Contains 345025 sequences. (Running on oeis4.)