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

1,2

Comments

Limiting row of A115623.

Links

Table of n, a(n) for n=1..86.

Example

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.

Mathematica

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

Crossrefs

Cf. A115623.

Sequence in context: A220431 A351284 A268317 * A047931 A258571 A033618

Adjacent sequences: A234089 A234090 A234091 * A234093 A234094 A234095

Keyword

nonn

Author

Clark Kimberling, Dec 26 2013

Status

approved