

A325512


Number of distinct nonzero numbers of partitions of n counted by length.


4



1, 1, 1, 2, 2, 3, 4, 5, 7, 7, 7, 10, 9, 10, 12, 14, 15, 16, 16, 18, 19, 19, 20, 22, 23, 23, 25, 26, 27, 27, 28, 30, 31, 31, 33, 34, 35, 36, 37, 38, 39, 40, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 56, 58, 60, 61, 62, 63, 64, 65, 65
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OFFSET

1,4


COMMENTS

Also the number of distinct nonzero entries in row n of A008284.


LINKS

Table of n, a(n) for n=1..68.


EXAMPLE

Row n = 9 of A008284 is (1, 4, 7, 6, 5, 3, 2, 1, 1), which has union {1,2,3,4,5,6,7}, so a(9) = 7.


MATHEMATICA

Table[Length[Union[Table[Length[IntegerPartitions[n, {k}]], {k, n}]]], {n, 30}]


CROSSREFS

Cf. A001221, A006128, A007870, A008284, A056239, A116608, A181819, A302247.
Sequence in context: A316078 A082543 A050322 * A211858 A029012 A095699
Adjacent sequences: A325509 A325510 A325511 * A325513 A325514 A325515


KEYWORD

nonn


AUTHOR

Gus Wiseman, May 07 2019


STATUS

approved



