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 A008884 3x+1 sequence starting at 27. 10
 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 27=A060412(4); a(A006577(27))=a(111)=1; a(n)=A161021(n+59) for n with 103<=n<=111. - Reinhard Zumkeller, Jun 03 2009 At step 109 enters the loop 4 2 1 4 2 1 4 2 1 ... - N. J. A. Sloane, Jul 27 2019 REFERENCES R. K. Guy, Unsolved Problems in Number Theory, E16. F. Oort, Prime numbers, 2013, http://www.math.uu.nl/~oort0109/Taiwan-PrimeNu2012-2013.pdf H.-O. Peitgen et al., Chaos and Fractals, Springer, p. 33. LINKS T. D. Noe, Table of n, a(n) for n = 0..111 Index entries for linear recurrences with constant coefficients, signature (0, 0, 1). FORMULA a(0) = 27, a(n) = 3*a(n-1)+1 if a(n-1) is odd, a(n) = a(n-1)/2 if a(n-1) is even. - Vincenzo Librandi, Dec 24 2010; corrected by Klaus Brockhaus, Dec 25 2010 MAPLE f := proc(n) option remember; if n = 0 then 27; elif f(n-1) mod 2 = 0 then f(n-1)/2 else 3*f(n-1)+1; fi; end; MATHEMATICA NestList[If[EvenQ[#], #/2, 3#+1]&, 27, 70] (* Harvey P. Dale, Jun 30 2011 *) PROG (MAGMA) [ n eq 1 select 27 else IsOdd(Self(n-1)) select 3*Self(n-1)+1 else Self(n-1) div 2: n in [1..70] ]; // Klaus Brockhaus, Dec 25 2010 (PARI) Collatz(n, lim=0)={ my(c=n, e=0, L=List(n)); if(lim==0, e=1; lim=n*10^6); for(i=1, lim, if(c%2==0, c=c/2, c=3*c+1); listput(L, c); if(e&&c==1, break)); return(Vec(L)); } print(Collatz(27)) \\ A008884 (from 27 to the first 1) \\ Anatoly E. Voevudko, Mar 26 2016 CROSSREFS Cf. A161022, A161023. Sequence in context: A292872 A057609 A255624 * A031455 A045004 A042432 Adjacent sequences:  A008881 A008882 A008883 * A008885 A008886 A008887 KEYWORD nonn,nice,easy AUTHOR EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org), Apr 27 2001 STATUS approved

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Last modified October 15 22:25 EDT 2019. Contains 328038 sequences. (Running on oeis4.)