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 A206354 Number of n X 3 0..4 arrays with no element equal to another within two positions in the same row or column, and new values 0..4 introduced in row major order. 1
 1, 17, 230, 3284, 47060, 674564, 9669452, 138605744, 1986829652, 28480003748, 408243662612, 5851926480128, 83883833763260, 1202424123191348, 17236024000927580, 247068000076467824, 3541570646368426820 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Column 3 of A206359. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 16*a(n-1) - 20*a(n-2) - 58*a(n-3) + 33*a(n-4) + 30*a(n-5) for n>6. Empirical g.f.: x*(1 + x - 22*x^2 + 2*x^3 + 69*x^4 + 33*x^5) / ((1 - x)*(1 - 15*x + 5*x^2 + 63*x^3 + 30*x^4)). - Colin Barker, Jun 15 2018 EXAMPLE Some solutions for n=4: ..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2 ..2..0..1....1..0..3....1..0..3....3..2..4....1..3..4....1..2..3....2..3..1 ..1..2..3....2..3..4....2..4..0....4..3..1....2..4..3....2..0..4....1..4..0 ..3..4..2....3..1..2....4..1..2....2..4..3....3..0..1....3..1..2....3..0..2 CROSSREFS Cf. A206359. Sequence in context: A329015 A016166 A358712 * A119273 A125474 A264455 Adjacent sequences: A206351 A206352 A206353 * A206355 A206356 A206357 KEYWORD nonn AUTHOR R. H. Hardin, Feb 06 2012 STATUS approved

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Last modified December 5 19:51 EST 2023. Contains 367593 sequences. (Running on oeis4.)