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A217743
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Excess of number of odds in the form 4k+1 over number of odds in the form 4k+3 in Collatz trajectory of n.
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2
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1, 1, 1, 1, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 0, 1, 4, 3, 3, 2, 2, 3, 1, 1, 4, 3, -6, 2, 4, 0, -6, 1, 5, 4, 2, 3, 3, 3, 2, 2, -5, 2, 4, 3, 5, 1, -5, 1, 4, 4, 4, 3, 3, -6, -6, 2, 5, 4, 3, 0, 2, -6, -8, 1, 5, 5, 3, 4, 4, 2, -4, 3, -5, 3, 2, 3, 5, 2, 2, 2, 3, -5, -5
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OFFSET
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1,5
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LINKS
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MATHEMATICA
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Collatz[n_] := NestWhileList[If[EvenQ[#], #/2, 3*# + 1] &, n, # > 1 &]; Table[Length[Select[Collatz[n], Mod[#, 4] == 1 &]] - Length[Select[Collatz[n], Mod[#, 4] == 3 &]], {n, 60}]
Table[m4=Mod[NestWhileList[If[EvenQ[#], #/2, 3*#+1]&, n, #>1&], 4]; Count[m4, 1]-Count[m4, 3], {n, 60}] (* Zak Seidov, Mar 23 2013 *)
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CROSSREFS
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Cf. A217744 (n having equal numbers of 4k+1 and 4k+3 terms).
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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