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 A202414 Number of (n+2) X 3 binary arrays with no more than one of any consecutive three bits set in any row or column. 1
 34, 94, 265, 739, 2059, 5746, 16033, 44728, 124786, 348145, 971293, 2709817, 7560148, 21092137, 58845166, 164172730, 458027185, 1277854735, 3565100011, 9946309042, 27749309485, 77418082780, 215989502182, 602591324641 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 1 of A202421. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 2*a(n-1) +a(n-2) +3*a(n-3) +a(n-4). Empirical g.f.: x*(34 + 26*x + 43*x^2 + 13*x^3) / (1 - 2*x - x^2 - 3*x^3 - x^4). - Colin Barker, May 28 2018 EXAMPLE Some solutions for n=5: ..0..1..0....0..0..0....1..0..0....0..0..1....0..0..0....0..0..1....0..0..1 ..1..0..0....0..0..1....0..1..0....1..0..0....0..0..1....0..0..0....0..0..0 ..0..0..0....1..0..0....0..0..0....0..0..0....0..1..0....1..0..0....1..0..0 ..0..0..1....0..0..0....1..0..0....0..0..1....0..0..0....0..0..0....0..0..0 ..0..1..0....0..1..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0 ..0..0..0....0..0..0....0..0..1....0..0..0....0..1..0....1..0..0....0..1..0 ..1..0..0....0..0..0....1..0..0....0..0..0....0..0..0....0..0..0....1..0..0 CROSSREFS Cf. A202421. Sequence in context: A185460 A260467 A202421 * A160062 A247218 A233031 Adjacent sequences:  A202411 A202412 A202413 * A202415 A202416 A202417 KEYWORD nonn AUTHOR R. H. Hardin, Dec 19 2011 STATUS approved

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Last modified February 17 15:32 EST 2020. Contains 331998 sequences. (Running on oeis4.)