A057686 Trajectory of 23 under the `23x+1' map.

23, 530, 265, 53, 1220, 610, 305, 61, 1404, 702, 351, 117, 39, 13, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1, 24, 12, 6, 3, 1

Offset

0,1

Comments

See A057684 for definition.

Links

Table of n, a(n) for n=0..69.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1).

Mathematica

Px1[p_, n_]:=Catch[For[i=1, i<PrimePi[p], i++, If[Divisible[n, Prime[i]], Throw[n/Prime[i]]]]; p*n+1];
NestList[Px1[23, #]&, 23, 100] (* Paolo Xausa, Dec 10 2023 *)

Crossrefs

Cf. A057446, A057216, A057522, A057534, A057614.

See also A033478, A057688, A057684, A057685, A057686, A057687, A057689, A057690, A057691.

Sequence in context: A171297 A009967 A147642 * A042014 A136670 A062360

Adjacent sequences: A057683 A057684 A057685 * A057687 A057688 A057689

Keyword

nonn,easy

Author

N. J. A. Sloane, Oct 20 2000

Status

approved