A244962 Generalized pentagonal numbers that are also partition numbers.

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

Offset

1,2

Comments

Intersection of A001318 and A000041.

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

Links

Table of n, a(n) for n=1..9.

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 *)

Crossrefs

Cf. A000041, A001318, A175003.

Sequence in context: A337655 A366175 A111328 * A022629 A032216 A285290

Adjacent sequences: A244959 A244960 A244961 * A244963 A244964 A244965

Keyword

nonn,hard,more

Author

Omar E. Pol, Jul 10 2014

Status

approved