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Numbers whose divisors are partition numbers.
6

%I #28 Feb 05 2014 03:35:33

%S 1,2,3,5,7,11,15,22,77,101,17977,10619863,6620830889,80630964769,

%T 228204732751,1171432692373,1398341745571,10963707205259,

%U 15285151248481,10657331232548839,790738119649411319,18987964267331664557,74878248419470886233,1394313503224447816939

%N Numbers whose divisors are partition numbers.

%C By definition all terms are partition numbers.

%C All members of A049575 are in this sequence.

%C Conjecture: the only composite numbers in this sequence are 15, 22, and 77. - _Jon E. Schoenfield_, Feb 05 2014

%e 15 is in the sequence because the divisors of 15 are 1, 3, 5, 15, which are also partition numbers.

%Y Cf. A000041, A027750, A049575, A236103, A236105, A236107, A236108, A236110, A236111.

%K nonn

%O 1,2

%A _Omar E. Pol_, Jan 21 2014

%E More terms from _Jon E. Schoenfield_, Feb 05 2014