A258826 Numbers n such that k iterations of n under the modified Collatz function yield k for some k.

2, 6, 7, 8, 17, 20, 21, 22, 23, 24, 36, 37, 38, 43, 48, 52, 53, 64, 68, 69, 70, 75, 86, 87, 89, 97, 98, 99, 105, 111, 112, 116, 117, 120, 122, 130, 131, 132, 133, 134, 137, 160, 169, 192, 208, 212, 213, 226, 227, 242, 243, 260, 261, 262, 264, 266, 268, 269, 273, 288, 290, 291, 292, 293, 294, 296, 298, 299, 305

Offset

1,1

Comments

Numbers n such that A258825(n) > 0.

Links

Table of n, a(n) for n=1..69.

Example

For n = 5, the Collatz function does the following: 5 -> 8 -> 4 -> 2 -> 1. Here, for k = 1, 2, 3, 4, applying k iterations to 5 does not yield k. So 5 is not a member of this sequence.
For n = 6, the Collatz function does the following: 6 -> 3 -> 5 -> 8 -> 4 -> 2 -> 1. After the 4th iteration, you arrive at 4. So 6 is a member of this sequence.

Prog

(PARI) Tvect(n)=v=[n]; while(n!=1, if(n%2, k=(3*n+1)/2; v=concat(v, k); n=k); if(!(n%2), k=n/2; v=concat(v, k); n=k)); v
n=1; while(n<10^3, d=Tvect(n); c=0; for(i=1, #d, if(d[i]==i-1, print1(n, ", "); break)); n++)

Crossrefs

Cf. A258825, A066861, A014682, A070168.

Sequence in context: A063291 A088225 A165775 * A157671 A196747 A261691

Adjacent sequences: A258823 A258824 A258825 * A258827 A258828 A258829

Keyword

nonn

Author

Derek Orr, Jun 11 2015

Status

approved