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 A242234 Number of length n+3+1 0..3 arrays with every value 0..3 appearing at least once in every consecutive 3+2 elements, and new values 0..3 introduced in order. 2
 10, 22, 43, 82, 157, 304, 586, 1129, 2176, 4195, 8086, 15586, 30043, 57910, 111625, 215164, 414742, 799441, 1540972, 2970319, 5725474, 11036206, 21272971, 41004970, 79039621, 152353768, 293671330, 566069689, 1091134408, 2103229195, 4054104622 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 3 of A242239. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4). Conjecture: a(n) = 9*A145112(n-1) + A016777(n-1). - R. J. Mathar, Aug 16 2017 Empirical g.f.: x*(10 + 12*x + 11*x^2 + 7*x^3) / (1 - x - x^2 - x^3 - x^4). - Colin Barker, Mar 19 2018 EXAMPLE Some solutions for n=5: ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..1....1....1....1....1....0....1....1....1....1....0....1....1....1....1....1 ..1....2....2....2....2....1....2....0....1....0....1....2....2....2....2....0 ..2....1....3....3....0....2....3....2....2....2....2....0....0....3....1....2 ..3....3....0....0....3....3....0....3....3....3....3....3....3....0....3....3 ..0....0....1....3....1....0....2....0....0....0....0....1....2....1....0....1 ..2....2....2....1....2....0....1....1....1....1....1....2....1....2....2....3 ..1....1....3....2....2....1....2....1....2....2....1....0....0....3....0....0 ..1....3....0....2....0....2....3....2....1....3....2....2....0....3....1....2 CROSSREFS Cf. A016777, A145112, A242239. Sequence in context: A014367 A063710 A157917 * A104867 A179877 A216048 Adjacent sequences: A242231 A242232 A242233 * A242235 A242236 A242237 KEYWORD nonn AUTHOR R. H. Hardin, May 08 2014 STATUS approved

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Last modified April 12 16:59 EDT 2024. Contains 371635 sequences. (Running on oeis4.)