A183026 - OEIS

%I #5 Mar 30 2012 18:39:49

%S 1,6,12,28,48,112,120,160,192,448,496,672,1984,7560,7680,8128,12288,

%T 28672,30240,32760,34944,65520,126976,196608,458752,472416,520192,

%U 523776,786432,859320,1100190,1835008,2031616,2096640,2178540,8126464

%N Conjectured list of smallest members of fully k-sociable cycles of order r.

%C A fully k-sociable (or fully multisociable) cycle of order r consists of r distinct positive integers such that the sum of all the divisors of each is equal to k times the next term in the cycle, with k a fixed positive integer.

%C A183027(n) gives the multiplicity of the cycle with smallest term a(n).

%C A183028(n) gives the order of the cycle with smallest term a(n).

%C If examples of two or more fully 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 A183027. (No such examples are known. Do any exist?)

%Y Cf. A000203, A000396, A007691, A183027 (multiplicities), A183028 (orders), A183029.

%K nonn

%O 1,2

%A _William Rex Marshall_, Jan 08 2011