A014363 Aliquot sequence starting at 966.

966, 1338, 1350, 2370, 3390, 4818, 5838, 7602, 9870, 17778, 17790, 24978, 27438, 30882, 30894, 34386, 40782, 52530, 82254, 82266, 82278, 121770, 241110, 450090, 750870, 1295226, 1572678, 1919538, 2760984, 4964136

Offset: 0

Author

Paul Zimmermann

Keywords

• nonn

References

• Richard K. Guy, Unsolved Problems in Number Theory, 3rd Edition, Springer, 2004, Section B6, pp. 92-95.

Links

• Tyler Busby, Table of n, a(n) for n = 0..1109 (from factordb.com; terms 0..277 from T. D. Noe, terms 278..1035 from Amiram Eldar)
• Christophe Clavier, Aliquot Sequences.
• factordb.com, Aliquot sequence of 966.
• Paul Zimmermann, Latest information.
• Index entries for sequences related to aliquot parts.

Crossrefs

Cf. A008885 (starting at 30) .. A008892 (starting at 276), A014360 (starting at 552) .. A014365 (starting at 1134), ..., A171103 (starting at 46758), A098007 (length of aliquot sequences).

Cf. A001065.

Programs

Mathematica

FixedPointList[If[# > 0, DivisorSigma[1, #] - #, 0]&, 966, 100] (* Jean-François Alcover, Mar 28 2020 *)

PARI

a(n,a=966)={for(i=1,n,a=sigma(a)-a);a} \\ M. F. Hasler, Feb 24 2018

Formula

a(n+1) = A001065(a(n)). - R. J. Mathar, Oct 11 2017