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A183016
Conjectured list of smallest terms of k-sociable cycles of order r.
4
6, 28, 120, 220, 496, 672, 1184, 2620, 5020, 6232, 8128, 10744, 12285, 12496, 14316, 17296, 30240, 32760, 63020, 66928, 67095, 69615, 79750, 100485, 122265, 122368, 141664, 142310, 171856, 176272, 185368, 196724, 280540, 308620, 319550
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.
A183017(n) gives the multiplicity of the cycle with smallest term a(n).
A183018(n) gives the order of the cycle with smallest term a(n).
If examples of two or more multisociable cycles with the same smallest term exist, the smallest term is repeated in this sequence, and corresponding multiplicities listed in order of increasing size in A183017. (No such examples are known. Do any exist?)
CROSSREFS
Cf. A000396, A001065, A002025, A003416, A007691, A183017 (multiplicities), A183018 (orders), A183019, A183021.
Sequence in context: A226853 A259307 A183019 * A282775 A325808 A192853
KEYWORD
nonn
AUTHOR
STATUS
approved