This site is supported by donations to The OEIS Foundation.
Template:Sequence of the Day for October 1
From OeisWiki
Intended for: October 1, 2011
Timetable
- First draft entered by Alonso del Arte on August 1, 2011 ✓
- Draft reviewed by Alonso del Arte on August 7, 2011 ✓ and Daniel Forgues on September 30, 2018 ✓
- Draft to be approved by September 1, 2011
Yesterday's SOTD * Tomorrow's SOTD |
The line below marks the end of the <noinclude> ... </noinclude> section.
A001057: Canonical enumeration of integers: interleaved positive and negative integers with zero prepended. (A permutation of the integers.)
- { 0, 1, −1, 2, −2, 3, −3, 4, − 4, 5, −5, 6, − 6, 7, −7, ... }
| ℤ | |
ℵ0 |
The order type** of the nonnegative integers is
ω |
ℤ |
ω⁎ + ω |
_______________
* Weisstein, Eric W., Bijection, from MathWorld—A Wolfram Web Resource.
** Weisstein, Eric W., Order Type, from MathWorld—A Wolfram Web Resource.
*** Weisstein, Eric W., Well Ordered Set, from MathWorld—A Wolfram Web Resource.
**** Weisstein, Eric W., Ordinal Number, from MathWorld—A Wolfram Web Resource.
ω⁎ |
ω |
ω⁎ |
‡ Harold Simmons, Introduction to order types and ordinals.