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 A183364 Number of n X 2 binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors. 1
 2, 3, 5, 12, 21, 41, 84, 171, 355, 732, 1517, 3165, 6608, 13809, 28871, 60398, 126425, 264681, 554188, 1160473, 2430233, 5089614, 10659415, 22324873, 46757436, 97930229, 205109405, 429591772, 899761459, 1884515059, 3947047760, 8266953369 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 2 of A183368. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = 2*a(n-1) + a(n-3) - 4*a(n-6) - 3*a(n-7) + a(n-10). Empirical g.f.: x*(1 + x)*(2 - 3*x + 2*x^2 - 2*x^3 - 4*x^4 - 2*x^5 + x^8) / (1 - 2*x - x^3 + 4*x^6 + 3*x^7 - x^10). - Colin Barker, Mar 28 2018 EXAMPLE Some solutions for 5 X 2: ..0..0....1..0....0..1....0..1....0..0....1..1....1..1....0..1....1..0....1..1 ..1..1....0..0....0..0....1..0....1..1....1..1....1..1....1..0....0..0....1..1 ..1..1....1..1....1..1....0..0....1..1....1..1....0..0....0..0....0..1....1..1 ..0..0....1..1....1..1....0..1....1..1....1..1....1..0....1..1....0..0....0..0 ..1..0....1..1....1..1....1..0....1..1....0..0....0..1....1..1....1..0....1..0 CROSSREFS Cf. A183368. Sequence in context: A089891 A282237 A004689 * A124370 A003428 A191626 Adjacent sequences: A183361 A183362 A183363 * A183365 A183366 A183367 KEYWORD nonn AUTHOR R. H. Hardin, Jan 04 2011 STATUS approved

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Last modified December 2 20:59 EST 2022. Contains 358510 sequences. (Running on oeis4.)