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 A225843 Integral parts of sums of the reciprocals of the Collatz (3x+1) sequence starting with n. 3
 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS a(n) = floor(sum(1/A070165(n,k): k = 1..A006577(n))); conjecture: a(n) <= 3; a(n) = 1 iff n = 2^k: a(A000079(n)) = 1, a(A057716(n)) > 1. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 FORMULA a(n) = floor(A225761(n)/A225784(n)). PROG (Haskell) a225843 = floor . sum . map (recip . fromIntegral) . a070165_row CROSSREFS Sequence in context: A035164 A023588 A175242 * A327657 A301957 A318874 Adjacent sequences:  A225840 A225841 A225842 * A225844 A225845 A225846 KEYWORD nonn AUTHOR Reinhard Zumkeller, May 16 2013 STATUS approved

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Last modified August 1 17:12 EDT 2021. Contains 346400 sequences. (Running on oeis4.)