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

7, 22, 96, 453, 2302, 12052, 65326, 358429, 1989453, 11087559, 62022945, 347395505, 1948118084, 10928901807, 61334491446, 344258620897, 1932496326979, 10848464120753, 60902512055626, 341906150989889, 1919482880527468

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