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Search: id:A074472
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| A074472 |
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Length of iteration sequence of Collatz-function (A006370) when initial value is 3^n (A000244) and final cycle is followed once. |
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11
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| 8, 20, 112, 23, 97, 34, 77, 76, 44, 136, 135, 134, 133, 145, 206, 130, 191, 141, 96, 95, 262, 429, 92, 259, 395, 332, 256, 255, 391, 390, 389, 463, 462, 461, 460, 459, 458, 457, 456, 455, 454, 502, 501, 451, 499, 498, 753, 496, 495, 494, 749, 492, 747, 490
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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n=2: initial value=3^2, list of iterates is {9,28,14,7,22,11,34,17,52,26,13,50,20,10,5,16,8,4,2,1} length=a(2)=20; Observe that consecutive powers of 3 as arguments frequently provide iteration-lengths of consecutive integers, for instance n=10,11,12,13 give L=136,135,134,133 or n=88-96 result in L=1278-1271.
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MATHEMATICA
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f[x_] := (1-Mod[x, 2])*(x/2)+(Mod[x, 2])*(3*x+1); f[1]=1; Table[1+Length[FixedPointList[f, 3^w]], {w, 1, 100}]
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CROSSREFS
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Cf. A000244, A006370, A008884, A075484-A075488.
Sequence in context: A007016 A129550 A014584 this_sequence A094253 A060668 A079386
Adjacent sequences: A074469 A074470 A074471 this_sequence A074473 A074474 A074475
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Sep 19 2002
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