A015630 Augmented amicable pairs (larger member of each pair).

11697, 16005, 28917, 76245, 339825, 570405, 871585, 697851, 678376, 1340865, 2067625, 1823925, 1483785, 1899261, 2479065, 2580105, 4895241, 4740505, 5736445, 3171556, 4791916, 6516237, 4416976, 7524525, 9868075, 7589745

Offset

1,1

Comments

Let f(n) = 1 + sum of aliquot divisors of n; these are pairs (n,m) with f(n)=m, f(m)=n.

The terms of the sequence are sorted in the order of the smaller (omitted) member of each pair. [Harvey P. Dale, Feb 29 2012]

Links

Amiram Eldar, Table of n, a(n) for n = 1..1159

D. Moews, Augmented amicable pairs

J. O. M. Pedersen, Tables of Aliquot Cycles [Broken link]

J. O. M. Pedersen, Tables of Aliquot Cycles [Via Internet Archive Wayback-Machine]

J. O. M. Pedersen, Tables of Aliquot Cycles [Cached copy, pdf file only]

P. Pollack, Quasi-Amicable Numbers are Rare, J. Int. Seq. 14 (2011) # 11.5.2

Mathematica

aap[n_]:=Module[{p=Total[Most[Divisors[n]]]+1}, If[p!=n&&n==Total[Most[ Divisors[p]]]+1, {p, n}, 0]]; Transpose[Union[Sort/@DeleteCases[aap/@ Range[10000000], 0]]][[2]] (* Harvey P. Dale, Feb 29 2012 *)

Crossrefs

Cf. A007992.

Sequence in context: A354212 A031631 A250923 * A237933 A251347 A346276

Adjacent sequences: A015627 A015628 A015629 * A015631 A015632 A015633

Keyword

nonn,nice

Author

N. J. A. Sloane

Status

approved