A183021 Smallest members of k-sociable cycles of order r, with k > 1 and r > 1.

5974080, 12162100800, 90079209000, 555108915200

Offset

1,1

Comments

A k-sociable (or multisociable) cycle of order r consists of r distinct positive integers such that the sum of the aliquot divisors (or proper divisors) of each is equal to k times the next term in the cycle, where k (the multiplicity) is a fixed positive integer.

a(1), a(2) and a(4) are the smallest terms of 2-sociable cycles of order 3 (or bicrowds), and a(3) is the smaller term of a 3-sociable cycle of order 2 (or triamicable pair).

No other terms <= 10^12.

Links

Table of n, a(n) for n=1..4.

Crossrefs

Cf. A001065, A166069, A183016, A183020, A183022.

Sequence in context: A137772 A205262 A183022 * A343086 A344277 A344278

Adjacent sequences: A183018 A183019 A183020 * A183022 A183023 A183024

Keyword

nonn,more

Author

William Rex Marshall, Jan 08 2011

Status

approved