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A316597 Heinz numbers of integer partitions that are not totally nondecreasing. 2
12, 20, 24, 28, 40, 44, 45, 48, 52, 56, 60, 63, 68, 72, 76, 80, 84, 88, 90, 92, 96, 99, 104, 112, 116, 117, 120, 124, 126, 132, 135, 136, 140, 144, 148, 150, 152, 153, 156, 160, 164, 168, 171, 172, 175, 176, 180, 184, 188, 189, 192, 198, 200, 204, 207, 208 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first term of this sequence that is absent from A112769 is 150.

An integer partition is totally nondecreasing if either it is empty or a singleton or its multiplicities (where if x < y the multiplicity of x is counted prior to the multiplicity of y) are weakly increasing and, taken in reverse order, are themselves a totally nondecreasing integer partition.

LINKS

Table of n, a(n) for n=1..56.

EXAMPLE

150 is the Heinz number of (3,3,2,1), with multiplicities (1,1,2), which has multiplicities (2,1), which are decreasing, so 150 does not belong to the sequence.

CROSSREFS

Complement of A316529.

Cf. A056239, A071365, A112769, A181819, A182850, A242031, A296150, A305733, A316496, A317258.

Sequence in context: A206552 A065201 A136724 * A112769 A097320 A204825

Adjacent sequences:  A316594 A316595 A316596 * A316598 A316599 A316600

KEYWORD

nonn

AUTHOR

Gus Wiseman, Jul 29 2018

STATUS

approved

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Last modified May 25 19:13 EDT 2019. Contains 323576 sequences. (Running on oeis4.)