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 A268312 First number of the periodic part of the "Say what you see" trajectory (see A005151) of n. 1
 1031223314, 21322314, 21322314, 21322314, 21322314, 3122331415, 3122331416, 3122331417, 3122331418, 3122331419, 1031223314, 21322314, 21322314, 21322314, 21322314, 3122331415, 3122331416, 3122331417, 3122331418, 3122331419, 10311233, 21322314, 22, 21322314, 31123314, 31123315 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS a(40) is the first time the periodic part of the trajectory contains more than one term. LINKS Julien Kluge, Table of n, a(n) for n = 0..10000 EXAMPLE Consider the starting value n = 5. We see one five: 15. We have one ones and one 5: 1115. We have three ones and one five: 3115... We reach 3122331415 which produces itself. So a(5) = 3122331415. MATHEMATICA a005151[n_, m_] :=   FromDigits[    Reverse /@      Sort[Tally[        If[n == 2, m, a005151[n - 1, m]] //         IntegerDigits], #1[[1]] < #2[[1]] &] // Flatten]; a[n_] := Block[{previousNum = 0, currentNum = 1, knownNums = {n}},   For[i = 2, currentNum != previousNum, ++i,    previousNum = currentNum;    currentNum = a005151[i, n];    If[MemberQ[knownNums, currentNum], Return[currentNum],     AppendTo[knownNums, currentNum]];    ];   Return[currentNum];   ] a /@ Range[0, 100] CROSSREFS A005151 shows a[1] at term number 13. Cf. A047841. Sequence in context: A225295 A036745 A225218 * A035124 A197952 A321066 Adjacent sequences:  A268309 A268310 A268311 * A268313 A268314 A268315 KEYWORD nonn,easy,base AUTHOR Julien Kluge, Jan 31 2016 STATUS approved

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Last modified May 12 10:54 EDT 2021. Contains 343821 sequences. (Running on oeis4.)