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 A286380 a(n) = the minimum number of iterations of the reduced Collatz function R required to yield 1. The function R (A139391) is defined as R(k) = (3k+1)/2^r, with r as large as possible. 3
 0, 1, 2, 1, 1, 3, 5, 1, 6, 2, 4, 3, 2, 6, 5, 1, 3, 7, 6, 2, 1, 5, 4, 3, 7, 3, 41, 6, 5, 6, 39, 1, 8, 4, 3, 7, 6, 7, 11, 2, 40, 2, 9, 5, 4, 5, 38, 3, 7, 8, 7, 3, 2, 42, 41, 6, 10, 6, 10, 6, 5, 40, 39, 1, 8, 9, 8, 4, 3, 4, 37, 7, 42, 7, 3, 7, 6, 12, 11, 2, 6, 41, 40, 2, 1, 10, 9, 5, 9, 5, 33, 5, 4, 39, 38, 3, 43, 8, 7, 8, 7, 8, 31, 3, 12, 3, 36, 42, 41, 42, 24 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 FORMULA a(1) = 0; for n > 1, a(n) = 1 + a(A139391(n)). Other identities. For all n >= 1: a(n) + A000035(n) = A078719(n). PROG (Scheme) (define (A286380 n) (if (= 1 n) 0 (+ 1 (A286380 (A139391 n))))) CROSSREFS Cf. A075680 (the odd bisection). Cf. A078719, A139391. Sequence in context: A290569 A230698 A090234 * A275866 A007754 A144866 Adjacent sequences:  A286377 A286378 A286379 * A286381 A286382 A286383 KEYWORD nonn AUTHOR Antti Karttunen, May 08 2017 STATUS approved

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Last modified June 18 11:58 EDT 2021. Contains 345098 sequences. (Running on oeis4.)