CodeWord

The word that writes each part i as a one followed by i - 1 zeros.

FindStatMp00094via IntegerComposition↗

CodeWord(IntegerComposition)The word that writes each part i as a one followed by i - 1 zeros.

Typed signatures

Type	Package	Applies
(composition) -> binary_word	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a IntegerComposition and returns a BinaryWord — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00094, Sage's to_code. An injection; its image is the words that start with a 1. Not CutWord, which marks the cuts and is one letter shorter than the size.

Examples

Basic #

the composition $2 + 1 + 3$

live ↗

In$\mathrm{CodeWord}({\operatorname{IntegerComposition}}([2, 1, 3]))$Out${\operatorname{BinaryWord}}([1, 0, 1, 1, 0, 0])$

About

Examples	1
Crosswalk	FindStat