A240450 - OEIS

A240450

Greatest number of distinct numbers in the intersection of p and its conjugate, as p ranges through the partitions of n.

2, 1, 3, 2, 3, 4, 3, 4, 3, 5, 4, 5, 4, 5, 6, 5, 6, 5, 6, 5, 7, 6, 7, 6, 7, 6, 7, 8, 7, 8, 7, 8, 7, 8, 7, 9, 8, 9, 8, 9

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OFFSET

1,1

COMMENTS

Number of terms in row n of the array at A240181.

To match the definition, all terms need to be decreased by 1 (because the rows in A240181 start with k=0). So this appears to be an incorrect duplicate of A067731. - Joerg Arndt, Jul 30 2017

LINKS

Table of n, a(n) for n=1..40.

MATHEMATICA

z = 30; conjugatePartition[part_] := Table[Count[#, _?(# >= i &)], {i, First[#]}] &[part]; c = Map[BinCounts[#, {0, 1 + Max[#]}] &[Map[Length, Map[Intersection[#, conjugatePartition[#]] &, IntegerPartitions[#]]]] &, Range[z]]; Flatten[c] (* A240181 *)

Table[Length[c[[n]]], {n, 1, z}] (* A240450 *) (* Peter J. C. Moses, Apr 10 2014 *)

CROSSREFS

Cf. A067731, A240181.

Sequence in context: A362031 A234361 A350013 * A352129 A340351 A115872

Adjacent sequences: A240447 A240448 A240449 * A240451 A240452 A240453

KEYWORD

nonn,more

AUTHOR

Clark Kimberling, Apr 12 2014

STATUS

approved