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A075426
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Smallest initial value k that reaches 1 in n steps when iterating the map m -> sfk(m)-1, where sfk(m) is the squarefree kernel of m (A007947).
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2
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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, 1548286, 1548287, 3096574, 5160959, 10321918, 10321919
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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).
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CROSSREFS
| Sequence in context: A147303 A075427 A066880 * A191615 A018606 A117087
Adjacent sequences: A075423 A075424 A075425 * A075427 A075428 A075429
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 15 2002
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EXTENSIONS
| a(33)-a(38) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Aug 27 2010
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