

A234092


Limit of v(m,n) as m>oo, where v(m,n) is the number of distinct terms in the nth 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
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OFFSET

1,2


COMMENTS



LINKS



EXAMPLE

In Mathematica ordering, the 9th partition of n >= 8 is [n4,3,1]. 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



KEYWORD

nonn


AUTHOR



STATUS

approved



