Intended for: May 19, 2014
Timetable
- First draft entered by Alonso del Arte on May 9, 2013 ✓
- Draft reviewed by Daniel Forgues on May 18, 2015 (May 15, 2016) ✓
- Draft to be approved by April 19, 2014
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A001142:
, or
.
-
{ 1, 1, 2, 9, 96, 2500, 162000, ... }
The second formula above shows that this sequence is also the products of consecutive horizontal rows of
Pascal’s triangle. As it happens, these numbers are related to
Euler’s number thus:
n → ∞limn → ∞
= n → ∞limn → ∞
a (n − 1) a (n + 1)
| a (n) 2
| = e. |