A072246 Numbers which are simultaneously the number of partitions of some k and the number of distinct partitions of some m.

1, 2, 3, 5, 15, 22

Offset: 1

Author

Robert G. Wilson v, Jul 06 2002

Keywords

• nonn

Comments

No more terms for all A000041(k) and A000009(m), where k<=1002505 and m<=2000000. - Vaclav Kotesovec, May 29 2018

Crossrefs

Intersection of A000041 and A000009; A368036 and A368037.

Programs

Mathematica

Intersection[ Table[ PartitionsP[n], {n, 1, 5000}], Table[ PartitionsQ[n], {n, 1, 7000}]]

Formula

A167392(a(n))*A167393(a(n)) = 1. [From Reinhard Zumkeller, Nov 03 2009]

Extensions

Perhaps there are no more terms? - N. J. A. Sloane Jul 06 2002