A325167 Heinz number of the internal portion of the integer partition with Heinz number n.

1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 3, 1, 1, 4, 1, 2, 3, 2, 1, 2, 3, 2, 4, 2, 1, 6, 1, 1, 3, 2, 5, 4, 1, 2, 3, 2, 1, 6, 1, 2, 6, 2, 1, 2, 5, 6, 3, 2, 1, 8, 5, 2, 3, 2, 1, 6, 1, 2, 6, 1, 5, 6, 1, 2, 3, 10, 1, 4, 1, 2, 9, 2, 7, 6, 1, 2, 8, 2, 1, 6, 5, 2, 3

Offset

1,6

Comments

The internal portion of an integer partition consists of all squares in the Young diagram that have a square both directly below and directly to the right.

The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).

Links

Table of n, a(n) for n=1..87.

Example

The partition with Heinz number 7865 is (6,5,5,3), with diagram
  o o o o o o
  o o o o o
  o o o o o
  o o o
with internal portion
  o o o o o
  o o o o
  o o o
which is the partition (5,4,3), with Heinz number 385, so a(7865) = 385.

Crossrefs

Cf. A052126, A056239, A064989, A065770, A093641, A112798, A257990, A297113, A325133, A325166, A325169.

Sequence in context: A001817 A214973 A091954 * A213408 A183953 A080236

Adjacent sequences: A325164 A325165 A325166 * A325168 A325169 A325170

Keyword

nonn

Author

Gus Wiseman, Apr 05 2019

Status

approved