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 A231264 Number of (2+1) X (n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order. 1
 6, 15, 32, 83, 211, 557, 1471, 3909, 10387, 27617, 73419, 195197, 518979, 1379897, 3669051, 9755861, 25940515, 68974961, 183402043, 487659661, 1296670403, 3447803113, 9167594299, 24376331077, 64815862051, 172343243361, 458255009275 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 2 of A231263. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 4*a(n-1) -2*a(n-2) -8*a(n-3) +11*a(n-4) -4*a(n-6) -4*a(n-7) -4*a(n-8) +8*a(n-9). Empirical g.f.: x*(6 - 9*x - 16*x^2 + 33*x^3 - 3*x^4 - 30*x^5 + x^6 - 2*x^7 + 40*x^8) / ((1 - x)*(1 + x)*(1 - 2*x + 2*x^2)*(1 - 2*x^2)*(1 - 2*x - x^2 - 2*x^3)). - Colin Barker, Feb 16 2018 EXAMPLE Some solutions for n=3: ..0..0..0..0....0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0 ..0..0..1..1....0..0..1..1....1..1..2..2....0..0..0..0....1..1..1..0 ..1..1..1..1....0..1..1..1....1..2..2..2....1..1..1..1....1..1..0..0 CROSSREFS Sequence in context: A273764 A273853 A192747 * A121666 A186829 A231452 Adjacent sequences: A231261 A231262 A231263 * A231265 A231266 A231267 KEYWORD nonn AUTHOR R. H. Hardin, Nov 06 2013 STATUS approved

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Last modified November 29 10:41 EST 2023. Contains 367429 sequences. (Running on oeis4.)