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A213916 Sum of all odd numbers in Collatz (3x+1) trajectory of n. 7
1, 1, 9, 1, 6, 9, 54, 1, 63, 6, 47, 9, 19, 54, 132, 1, 36, 63, 95, 6, 22, 47, 117, 9, 120, 19, 20262, 54, 76, 132, 20194, 1, 153, 36, 94, 63, 91, 95, 450, 6, 20235, 22, 248, 47, 81, 117, 20163, 9, 140, 120, 204, 19, 59, 20262, 20426, 54, 305, 76, 411, 132, 178 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
a(n) = A033493(n) - A213909(n).
EXAMPLE
a(5)=6 since Collatz trajectory of 5 is 5,16,8,4,2,1.
MATHEMATICA
Collatz[n_] := NestWhileList[If[EvenQ[#], #/2, 3 # + 1] &, n, # > 1 &]; Table[Total[Select[Collatz[n], OddQ]], {n, 100}] (* T. D. Noe, Mar 05 2013 *)
CROSSREFS
Sequence in context: A363876 A195712 A296473 * A297815 A021920 A367960
KEYWORD
nonn
AUTHOR
Jayanta Basu, Mar 05 2013
STATUS
approved

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Last modified February 26 01:31 EST 2024. Contains 370335 sequences. (Running on oeis4.)