

A213538


Maximum deviation from n in Collatz trajectory of n.


1



0, 1, 13, 3, 11, 10, 45, 7, 43, 9, 41, 11, 27, 38, 145, 15, 35, 34, 69, 19, 43, 30, 137, 23, 63, 25, 9205, 27, 59, 130, 9201, 31, 67, 33, 125, 35, 75, 50, 265, 39, 9191, 41, 153, 43, 91, 114, 9185, 47, 99, 49, 181, 51, 107, 9178, 9177, 55, 139, 57, 245, 100, 123
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OFFSET

1,3


COMMENTS

Assuming Collatz trajectory ends with 1 and also a(1)=0.


LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000


EXAMPLE

a(3)=13 because the number furthest to 3 in Collatz trajectory of 3 is 16.


MATHEMATICA

Collatz[n_] := NestWhileList[If[EvenQ[#], #/2, 3 # + 1] &, n, # > 1 &]; Join[{0}, Table[Max[Rest[Abs[Collatz[n]  n]]], {n, 2, 100}]] (* T. D. Noe, Mar 04 2013 *)


CROSSREFS

Cf. A070165.
Sequence in context: A010221 A113172 A128154 * A264971 A107806 A138965
Adjacent sequences: A213535 A213536 A213537 * A213539 A213540 A213541


KEYWORD

nonn


AUTHOR

Jayanta Basu, Mar 03 2013


STATUS

approved



