OddPartsWord

The binary word marking which parts are odd, the parts taken largest first.

FindStatMp00317via IntegerPartition↗

OddPartsWord(IntegerPartition)The binary word marking which parts are odd, the parts taken largest first.

Typed signatures

Type	Package	Applies
(integer_partition) -> binary_word	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a IntegerPartition and returns a BinaryWord — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00317. Lossy: only the parts' parity is kept.

Examples

Basic #

the partition $4 + 2 + 1$

live ↗

In$\mathrm{OddPartsWord}({\operatorname{IntegerPartition}}([4, 2, 1]))$Out${\operatorname{BinaryWord}}([0, 0, 1])$

About

Examples	1
Crosswalk	FindStat