

A213199


Numbers n such that at least one member of its Collatz (3x+1) trajectory is greater than n.


4



3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83
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OFFSET

1,1


LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000


EXAMPLE

a(1) = 3 because 3 is the first number whose trajectory goes above 3.


MATHEMATICA

Collatz[n_] := NestWhileList[If[EvenQ[#], #/2, 3 # + 1] &, n, # > 1 &]; Select[Range[100], Max[Collatz[#]] > # &] (* T. D. Noe, Mar 01 2013 *)


CROSSREFS

Cf. A222562, A222597.
Sequence in context: A136492 A062506 A308468 * A184987 A242437 A188916
Adjacent sequences: A213196 A213197 A213198 * A213200 A213201 A213202


KEYWORD

nonn


AUTHOR

Jayanta Basu, Mar 01 2013


STATUS

approved



