A231436 - OEIS

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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

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..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

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