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 A279206 Length of first run of 0's in binary representation of Catalan(n). 2
 0, 0, 1, 1, 1, 1, 4, 1, 1, 2, 5, 2, 2, 1, 1, 2, 4, 1, 3, 1, 4, 1, 1, 2, 2, 3, 4, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 3, 1, 1, 2, 8, 1, 1, 2, 3, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 6, 1, 3, 2, 1, 1, 2, 6, 1, 1, 1, 2, 2, 2, 3, 6, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS What combinatorial problem is this the answer to? LINKS Robert Israel, Table of n, a(n) for n = 0..10000 EXAMPLE A000108(13) = 742900_10 = A264663(13) = 10110101010111110100_2, so a(13) = 1. MAPLE f:= proc(n) local L; uses ListTools; L:= [1, op(convert(binomial(2*n, n)/(n+1), base, 2))]; L:= Reverse(L[2..-1]-L[1..-2]); Search(-1, L) - Search(1, L); end proc: map(f, [\$0..100]); # Robert Israel, Dec 22 2016 MATHEMATICA Table[First[Map[Length, DeleteCases[Split@ IntegerDigits[CatalanNumber@ n, 2], w_ /; Times @@ w > 0]] /. {} -> {0}], {n, 0, 89}] (* Michael De Vlieger, Dec 22 2016 *) CROSSREFS Cf. A000108, A264663, A279026, A279205. Sequence in context: A096103 A204456 A143441 * A333989 A016527 A010325 Adjacent sequences: A279203 A279204 A279205 * A279207 A279208 A279209 KEYWORD nonn,base,look AUTHOR N. J. A. Sloane, Dec 22 2016 STATUS approved

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Last modified August 5 06:16 EDT 2024. Contains 374935 sequences. (Running on oeis4.)