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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.
0
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.
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 26 2013
STATUS
approved