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Template:Sequence of the Day for August 11
From OeisWiki
Intended for: August 11, 2011
Timetable
- First draft entered by Alonso del Arte on May 30, 2011 as a verbatim copy of the write-up from December 11, 2010 ✓
- Draft reviewed by Alonso del Arte on August 10, 2011 ✓
- Draft approved (sort of...) by Daniel Forgues on August 10, 2011 ✓
- New draft entered by Alonso del Arte on August 10, 2011 ✓
- New draft reviewed by Daniel Forgues on August 10, 2011 ✓
- This draft approved for this year and next by Alonso del Arte on August 11, 2011 on account of Daniel's added insight of connecting dots I was only dimly aware needed connecting. ✓
Yesterday's SOTD * Tomorrow's SOTD |
The line below marks the end of the <noinclude> ... </noinclude> section.
11 n, n ≥ 0 |
- { 1, 11, 121, 1331, 14641, 161051, 1771561, ... }
In the classic Star Trek episode “The Trouble with Tribbles,” Spock estimates the growth of the Tribble population aboard the Enterprise thus: “1,771,561. That’s assuming one tribble, multiplying with an average litter of 10, producing a new generation every 12 hours over a period of three days.”
Note that forn = 0 |
n ≥ 5 |
1 5 10 10 5 1 ------ 161051Setting
x = 10 |
y = 1 |
-
(x + y) n = n∑ k = 0
explains why this is so.
See also:
* A096884101 n, n ≥ 0 |
* A097659
1001 n, n ≥ 0 |