

A072466


Numbers with 11 odd integers in their Collatz (or 3x+1) trajectory.


0



57, 59, 114, 115, 118, 119, 228, 229, 230, 236, 237, 238, 456, 458, 460, 461, 465, 472, 473, 474, 476, 477, 507, 513, 912, 916, 917, 920, 922, 930, 931, 943, 944, 945, 946, 947, 948, 949, 952, 954, 971, 987, 1014, 1015, 1025, 1026, 1027, 1031, 1129, 1131
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OFFSET

1,1


COMMENTS

The Collatz (or 3x+1) function is f(x) = x/2 if x is even, 3x+1 if x is odd. The Collatz trajectory of n is obtained by applying f repeatedly to n until 1 is reached.


REFERENCES

J. Shallit and D. Wilson, The "3x+1" Problem and Finite Automata, Bulletin of the EATCS #46 (1992) pp. 182185.


LINKS

Table of n, a(n) for n=1..50.
J. Shallit and D. Wilson, The "3x+1" Problem and Finite Automata, Bulletin of the EATCS #46 (1992) pp. 182185.
Index entries for 2automatic sequences.


MATHEMATICA

ocollQ[n_]:=Length[Select[NestWhileList[If[EvenQ[#], #/2, 3#+1]&, n, #>1&], OddQ[#]&]]==11; Select[Range[1140], ocollQ[#]&] (* Jayanta Basu, May 28 2013 *)


CROSSREFS

Cf. A062052A062060.
Sequence in context: A217923 A136542 A042623 * A216183 A334238 A056082
Adjacent sequences: A072463 A072464 A072465 * A072467 A072468 A072469


KEYWORD

easy,nonn


AUTHOR

Jim Nastos, Jun 19 2002


STATUS

approved



