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A217743 Excess of number of odds in the form 4k+1 over number of odds in the form 4k+3 in Collatz trajectory of n. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,5
LINKS
MATHEMATICA
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 *)
CROSSREFS
Cf. A217744 (n having equal numbers of 4k+1 and 4k+3 terms).
Sequence in context: A060682 A352897 A280363 * A238845 A093873 A353371
KEYWORD
sign
AUTHOR
Jayanta Basu, Mar 23 2013
STATUS
approved

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Last modified April 15 10:24 EDT 2024. Contains 371681 sequences. (Running on oeis4.)