A113702 Trajectory of 10 under map k -> A111273(k).

10, 11, 22, 23, 12, 13, 91, 161, 189, 285, 429, 473, 869, 957, 1437, 2157, 3237, 4857, 7287, 4164, 3470, 4511, 2256, 1464, 1172, 782, 783, 392, 294, 413, 531, 342, 343, 172, 173, 519, 346, 347, 694, 1735, 1388, 926, 927, 464, 248, 166, 167, 84, 70, 71, 36, 37

Offset: 0

Author

Klaus Brockhaus, Nov 08 2005

Keywords

• nonn

Comments

10 is the smallest number that is not member of a k-cycle with k <=13 of permutation A111273.

Conjecture: Sequence is not periodic.

For the retrograde trajectory of 10 see A113703.

Links

• Robert Israel, Table of n, a(n) for n = 0..81

Crossrefs

Cf. A111273, A113659, A113700, A113701, A113703.

Programs

Maple

# assuming A111273 is a list, Vector or table
a113702[0]:= 10:
for i from 1 do
  t:= traperror(A111273[a113702[i-1]]);
if not t::integer then break fi;
  a113702[i]:=t
od:
seq(a113702[j],j=0..i-1); # Robert Israel, Jan 16 2019