A236102
Numbers whose divisors are partition numbers.
Original entry on oeis.org
1, 2, 3, 5, 7, 11, 15, 22, 77, 101, 17977, 10619863, 6620830889, 80630964769, 228204732751, 1171432692373, 1398341745571, 10963707205259, 15285151248481, 10657331232548839, 790738119649411319, 18987964267331664557, 74878248419470886233, 1394313503224447816939
Offset: 1
15 is in the sequence because the divisors of 15 are 1, 3, 5, 15, which are also partition numbers.
A236110
Smallest number with the property that exactly n of its divisors are partition numbers.
Original entry on oeis.org
1, 2, 6, 15, 42, 30, 270, 210, 462, 1848, 3696, 11088, 2310, 9240, 18480, 55440, 83160, 166320, 498960, 2494800, 17463600, 331808400, 4418290800
Offset: 1
a(3) = 6 because 6 is the smallest number with the property that exactly three of its divisors are partition numbers. The divisors of 6 are 1, 2, 3, 6, and 1, 2, 3 are also partition numbers.
a(5) = 42 because 42 is the smallest number with the property that exactly five of its divisors are partition numbers. The divisors of 42 are 1, 2, 3, 6, 7, 14, 21, 42, and 1, 2, 3, 7, 42 are members of A000041.
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