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 A336938 The maximum values of the sets A(n), where A(0) = {0} and A(n+1) is the union of A(n) and the Collatz orbit of the smallest natural number missing in A(n). 4
 0, 4, 16, 16, 52, 52, 52, 160, 160, 160, 160, 160, 160, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232, 9232 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..46. PROG (PARI) firstMiss(A) = { my(i); if(#A == 0 || A[1] > 0, return(0)); for(i = 1, A[#A] + 1, if(!setsearch(A, i), return(i))); }; iter(A) = { my(a = firstMiss(A)); while(!setsearch(A, a), A = setunion(A, Set([a])); a = if(a % 2, 3*a+1, a/2)); A; }; makeVec(m) = { my(v = [], A = Set([0]), i); for(i = 1, m, v = concat(v, A[#A]); if (i < m, A = iter(A))); v; }; makeVec(47) CROSSREFS Cf. A061641, A336256. Sequence in context: A224113 A223876 A223801 * A232516 A220109 A207283 Adjacent sequences: A336935 A336936 A336937 * A336939 A336940 A336941 KEYWORD nonn AUTHOR Markus Sigg, Aug 08 2020 STATUS approved

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Last modified August 3 12:10 EDT 2024. Contains 374893 sequences. (Running on oeis4.)