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A139391 Next odd term in Collatz trajectory with starting value n. +0
7
1, 1, 5, 1, 1, 3, 11, 1, 7, 5, 17, 3, 5, 7, 23, 1, 13, 9, 29, 5, 1, 11, 35, 3, 19, 13, 41, 7, 11, 15, 47, 1, 25, 17, 53, 9, 7, 19, 59, 5, 31, 21, 65, 11, 17, 23, 71, 3, 37, 25, 77, 13, 5, 27, 83, 7, 43, 29, 89, 15, 23, 31, 95, 1, 49, 33, 101, 17, 13, 35, 107, 9, 55, 37, 113, 19, 29 (list; graph; listen)
OFFSET

1,3

COMMENT

a(n) = A006370(n) iff n mod 4 = 2;

a(A016825(n))=A006370(A016825(n));

a(n) = A000265(A006370(n)).

a(A160967(n)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 31 2009]

REFERENCES

Friedrich L. Bauer, 'Der (ungerade) Collatz-Baum', Informatik Spektrum 31 (Springer, April 2008).

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Collatz Problem

Index entries for sequences related to 3x+1 (or Collatz) problem

Wikipedia, Collatz conjecture [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 31 2009]

FORMULA

a(n) = if A006370(n) is odd then A006370(n) else a(A006370(n)).

CROSSREFS

Sequence in context: A073050 A154740 A154567 this_sequence A110635 A071170 A108691

Adjacent sequences: A139388 A139389 A139390 this_sequence A139392 A139393 A139394

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 17 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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