A331035 a(n) = sigma^m(N)/N for N = A019276(n) (megaperfect numbers), where m(N) = min {m: N | sigma^m(N)} reaches record values; sigma^m is m-fold iteration of A000203.

1, 2, 5, 24, 168, 1834560, 6516224, 881280, 517517500266693633076805172570524811961093324800, 12291248474277267848395134563637563923813851715476607482451722240, 9432427640268436606451425375305719340471711381221905226790680395776

Offset

1,2

Comments

See A019294 for m as function of the starting value.

See the main sequence A019276 for further information and references.

Links

Table of n, a(n) for n=1..11.

Formula

a(n) = A019295(A019276(n)).

Crossrefs

Cf. A019276 (megaperfect numbers: where A019294 reaches records), A019277 (the record values), A019294 (min{m>0: n|sigma^m(n)}), A019295 (ratio sigma^m(n)/n).

Sequence in context: A020124 A012249 A303108 * A052808 A137157 A359810

Adjacent sequences: A331032 A331033 A331034 * A331036 A331037 A331038

Keyword

nonn

Author

M. F. Hasler, Jan 08 2020

Status

approved