A244962 Generalized pentagonal numbers that are also partition numbers.

1, 2, 5, 7, 15, 22, 77, 176, 4565

Offset: 1

Author

Omar E. Pol, Jul 10 2014

Keywords

• nonn
• hard
• more

Comments

Intersection of A001318 and A000041.

No more terms < A000041(2*10^6), a number with 1569 digits. - Lars Blomberg, Jul 15 2014

Crossrefs

Cf. A000041, A001318, A175003.

Programs

Mathematica

nmax=PartitionsP[50]; Intersection[Table[PartitionsP[n],{n,0,50}],Table[n*(n+1)/6,{n,Select[Range[0,nmax],Mod[#,3]!=1&]}]] (* Vaclav Kotesovec, Jul 15 2014 *)