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Search: id:A075426
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A075426 Smallest initial value k that reaches 1 in n steps when iterating the map m -> sfk(m)-1, where sfk(m) is the square-free kernel of m (A007947). +0
3
1, 2, 3, 6, 7, 14, 15, 30, 31, 62, 95, 318, 319, 734, 959, 2798, 2879, 5758, 5759, 11518, 11519, 23038, 23039, 46078, 46079, 92158, 92159, 184318, 184319, 368638, 368639, 737278, 737279 (list; graph; listen)
OFFSET

0,2

COMMENT

Least k such that A075425(k) = n;

Observations: (a(n) mod 2) = ((n+1) mod 2); frequently a(2*k)=a(2*k-1)+1 and a(2*k+1)=a(2*k)*2: a(n)=A075427(n) for n<=9.

Also A110157(a(n)) = n+1 and A110157(m) < n+1 for m < a(n).

CROSSREFS

Sequence in context: A147303 A075427 A066880 this_sequence A018606 A117087 A000837

Adjacent sequences: A075423 A075424 A075425 this_sequence A075427 A075428 A075429

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 15 2002

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


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