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A231391
Number of (n+1) X (3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
1
14, 38, 100, 272, 740, 2061, 5834, 16521, 46969, 133864, 382377, 1093837, 3133209, 8984580, 25782696, 74034161, 212690121, 611260183, 1757248511, 5052897615, 14532031920, 41799692849, 120245136990, 345938696990, 995313138719
OFFSET
1,1
COMMENTS
Column 3 of A231396.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) -8*a(n-3) -8*a(n-4) +7*a(n-5) +12*a(n-6) +23*a(n-7) -42*a(n-8) -16*a(n-9) +81*a(n-10) -14*a(n-11) -52*a(n-12) +15*a(n-13) -2*a(n-14) -17*a(n-15) +4*a(n-16) +10*a(n-17) +4*a(n-18).
EXAMPLE
Some solutions for n=4
..0..0..1..1....0..0..1..1....0..0..0..1....0..0..0..0....0..0..0..1
..0..0..1..1....0..0..1..1....0..0..1..1....0..0..1..1....0..0..1..1
..0..1..1..1....0..1..1..1....1..1..1..1....0..1..1..1....0..0..1..1
..0..0..1..1....1..0..1..1....1..1..2..2....1..0..0..0....1..1..0..0
..0..0..1..1....0..1..0..0....1..2..2..2....1..1..0..0....1..1..0..0
CROSSREFS
Cf. A231396.
Sequence in context: A058826 A142241 A186121 * A231459 A244702 A187086
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 08 2013
STATUS
approved