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A089357
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a(n) = 2^(6*n).
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9
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1, 64, 4096, 262144, 16777216, 1073741824, 68719476736, 4398046511104, 281474976710656, 18014398509481984, 1152921504606846976, 73786976294838206464, 4722366482869645213696, 302231454903657293676544, 19342813113834066795298816
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OFFSET
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0,2
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COMMENTS
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For n > 0, numbers M such that a(n) is the highest power of 2 in the Collatz (3x+1) iteration are given by 2^k*(a(n)-1)/3 for any k >= 0. Example: For n = 1, the numbers such that 64 is the highest power of 2 in the Collatz (3x+1) iteration are given by 2^k*(64-1)/3 = 21*2^k for any k >= 0. See A008908 for more information on the Collatz (3x+1) iteration. - Derek Orr, Sep 22 2014
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LINKS
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FORMULA
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MAPLE
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MATHEMATICA
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2^(6 Range[0, 20]) (* or *) NestList[64#&, 1, 20] (* Harvey P. Dale, Sep 28 2011 *)
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PROG
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(Maxima) makelist(2^(6*n), n, 0, 20); /* Martin Ettl, Nov 12 2012 */
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Douglas Winston (douglas.winston(AT)srupc.com), Dec 26 2003
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STATUS
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approved
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