OFFSET
1,1
COMMENTS
Maximum term in the aliquot sequence of n is considered only if it is larger than n.
The record values are in A290142.
EXAMPLE
The aliquot sequence of 30 is: 30, 42, 54, 66, 78, 90, 144, 259, 45, 33, 15, 9, 4, 3, 1. The maximum is 259 which is larger than 30, and larger than the maxima of all the aliquot sequences of the numbers below 30.
MATHEMATICA
g[n_] := If[n > 0, DivisorSigma[1, n] - n, 0]; f[n_] := NestWhileList[g, n, UnsameQ, All]; seq = {}; a = -1; seq = {}; Do[b = Max[Drop[f[n], 1]]; If[b > a, a = b; AppendTo[seq, n]], {n, 2, 275}]; seq (* after Robert G. Wilson v at A098009 *)
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Amiram Eldar, Jul 21 2017
STATUS
approved