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 A231377 Number of n X 3 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors. 1
 4, 21, 93, 378, 1519, 6126, 24747, 99964, 403743, 1630662, 6586087, 26600572, 107437031, 433927396, 1752589551, 7078534592, 28589495207, 115470119764, 466372299261, 1883631211124, 7607798625811, 30727139997676, 124103854340837 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 6*a(n-1) - 11*a(n-2) + 16*a(n-3) - 14*a(n-4) - 3*a(n-5) + 8*a(n-6) - 9*a(n-7) - 2*a(n-8) + 6*a(n-9) + 2*a(n-10) for n>11. Empirical g.f.: x*(4 - 3*x + 11*x^2 - 13*x^3 - 6*x^4 - 12*x^5 - 15*x^6 + 3*x^7 + 13*x^8 + 8*x^9 + 2*x^10) / (1 - 6*x + 11*x^2 - 16*x^3 + 14*x^4 + 3*x^5 - 8*x^6 + 9*x^7 + 2*x^8 - 6*x^9 - 2*x^10). - Colin Barker, Sep 28 2018 EXAMPLE Some solutions for n=3: ..0..0..0....1..0..0....0..0..0....0..0..1....1..1..0....0..1..0....0..1..1 ..1..0..1....0..0..0....0..0..1....0..0..0....1..1..0....0..0..0....0..0..1 ..1..0..0....0..0..1....0..0..1....0..0..0....0..0..0....0..1..0....0..0..0 CROSSREFS Column 3 of A231382. Sequence in context: A328345 A371309 A220574 * A017967 A292308 A076901 Adjacent sequences: A231374 A231375 A231376 * A231378 A231379 A231380 KEYWORD nonn AUTHOR R. H. Hardin, Nov 08 2013 STATUS approved

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Last modified August 11 17:18 EDT 2024. Contains 375073 sequences. (Running on oeis4.)