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A231339 Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order 1
7, 22, 96, 453, 2302, 12052, 65326, 358429, 1989453, 11087559, 62022945, 347395505, 1948118084, 10928901807, 61334491446, 344258620897, 1932496326979, 10848464120753, 60902512055626, 341906150989889, 1919482880527468 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A231343

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-1) -76*a(n-2) +89*a(n-3) +558*a(n-4) -2475*a(n-5) +4307*a(n-6) -3342*a(n-7) -657*a(n-8) +4329*a(n-9) -2777*a(n-10) -1516*a(n-11) -5181*a(n-12) +29973*a(n-13) -62025*a(n-14) +78104*a(n-15) -71064*a(n-16) +39440*a(n-17) +20165*a(n-18) -62303*a(n-19) +136788*a(n-20) -263265*a(n-21) +276773*a(n-22) -233086*a(n-23) +162331*a(n-24) +11505*a(n-25) -92651*a(n-26) +60838*a(n-27) -39569*a(n-28) +14575*a(n-29) -827*a(n-30) +128*a(n-31) +771*a(n-32) -9*a(n-33) +135*a(n-34)

EXAMPLE

Some solutions for n=6

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

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

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

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

..1..1..2..2....3..3..2..2....2..2..0..0....0..0..0..0....2..2..1..1

..3..3..2..2....3..3..3..3....2..2..2..0....0..0..3..3....2..2..3..3

..3..3..3..3....3..3..3..3....2..2..2..0....3..3..3..3....3..3..3..3

CROSSREFS

Sequence in context: A305083 A231214 A041913 * A222178 A117110 A027838

Adjacent sequences:  A231336 A231337 A231338 * A231340 A231341 A231342

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 07 2013

STATUS

approved

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Last modified December 3 04:22 EST 2021. Contains 349445 sequences. (Running on oeis4.)