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A075486
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Length of iteration list when Collatz-function is iterated with initial value 2^n + 1.
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4
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8, 6, 20, 13, 27, 28, 122, 123, 36, 37, 157, 114, 53, 54, 99, 100, 101, 102, 103, 73, 167, 168, 169, 170, 171, 172, 248, 174, 188, 189, 252, 253, 179, 180, 318, 244, 196, 197, 154, 155, 156, 157, 401, 327, 496, 497, 162, 163, 332, 333, 409, 472, 411, 412, 338
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OFFSET
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1,1
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COMMENTS
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n=4, 1+2^n = 17, list = {17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1}, so a(4) = 13.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n) = A008908(2^n+1).
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MATHEMATICA
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Collatz[n_] := NestWhileList[If[EvenQ[#], #/2, 3 # + 1] &, n, # > 1 &]; Table[Length[Collatz[2^n + 1]], {n, 100}] (* T. D. Noe, Jan 17 2013 *)
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CROSSREFS
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Cf. A006370, A008908, A074472, A075487-A075488.
Sequence in context: A064685 A300885 A300941 * A123875 A217479 A301495
Adjacent sequences: A075483 A075484 A075485 * A075487 A075488 A075489
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KEYWORD
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nonn
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AUTHOR
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Labos Elemer, Sep 26 2002
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STATUS
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approved
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