A236110 Smallest number with the property that exactly n of its divisors are partition numbers.

1, 2, 6, 15, 42, 30, 270, 210, 462, 1848, 3696, 11088, 2310, 9240, 18480, 55440, 83160, 166320, 498960, 2494800, 17463600, 331808400, 4418290800

Offset

1,2

Links

Table of n, a(n) for n=1..23.

Example

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.

Crossrefs

Cf. A000041, A236102, A236103, A236105, A236107, A236108, A236111.

Sequence in context: A121328 A348012 A139379 * A362566 A280782 A307308

Adjacent sequences: A236107 A236108 A236109 * A236111 A236112 A236113

Keyword

nonn,more,hard

Author

Omar E. Pol, Jan 22 2014

Extensions

a(12) and a(15)-a(18) from Alois P. Heinz, Jan 22 2014

a(19)-a(22) from Giovanni Resta, Feb 06 2014

a(23) from Amiram Eldar, Jun 23 2023

Status

approved