Search: id:A064353 Results 1-1 of 1 results found. %I A064353 %S A064353 1,3,3,3,1,1,1,3,3,3,1,3,1,3,3,3,1,1,1,3,3,3,1,3,3,3,1,3,3,3,1,1,1,3,3, %T A064353 3,1,3,1,3,3,3,1,1,1,3,3,3,1,3,3,3,1,1,1,3,3,3,1,3,3,3,1,1,1,3,3,3,1,3, %U A064353 1,3,3,3,1,1,1,3,3,3,1,3,3,3,1,3,3,3,1,1,1,3,3,3,1,3,1,3,3,3,1,1,1,3,3 %N A064353 Kolakoski-(1,3) sequence: a(n) is length of n-th run. %C A064353 The frequency of the number '3' is 0.6027847... See problem A in http:/ /www.math.leidenuniv.nl/%7Enaw/serie5/deel05/jun2004/pdf/uwc.pdf Solution: http://www.jaapspies.nl/mathfiles/opgave2004-2A.pdf - Jaap Spies (j.spies(AT)hccnet.nl), Dec 12 2004 %D A064353 E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, Volume 59 (Jeux math'), April/June 2008, Paris. %H A064353 Michael Baake and Bernd Sing, Kolakoski-(3,1) is a (deformed) model set %o A064353 (Matlab) A = [1 3 3 3]; i = 3; next = 1; while length(A) < 140 A = [A next*ones(1, A(i))]; i = i + 1; next = 4 - next; end %Y A064353 Cf. A000002, A071820, A071907, A071928, A071942. %Y A064353 Sequence in context: A126066 A130974 A131289 this_sequence A080311 A135368 A119560 %Y A064353 Adjacent sequences: A064350 A064351 A064352 this_sequence A064354 A064355 A064356 %K A064353 nonn,easy,nice %O A064353 1,2 %A A064353 N. J. A. Sloane (njas(AT)research.att.com). %E A064353 More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jul 16 2002 Search completed in 0.001 seconds