A234092 Limit of v(m,n) as m->oo, where v(m,n) is the number of distinct terms in the n-th partition of m in Mathematica (lexicographic) ordering of the partitions of m.

1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 4, 3, 2, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 2

Offset: 1

Author

Clark Kimberling, Dec 26 2013

Keywords

• nonn

Comments

Limiting row of A115623.

Examples

			In Mathematica ordering, the 9th partition of n >= 8 is [n-4,3,1].  Thus, v(n,9) = 3 for n all n >= 8, so a(n) = 3.
		

Crossrefs

Cf. A115623.

Programs

Mathematica

Table[Length[Union[IntegerPartitions[40][[k]]]], {k, 1, 150}]