Intended for: June 21, 2013
Timetable
- First draft entered by Daniel Forgues on June 21, 2016 ✓
- Draft reviewed by April 21, 2013
- Draft approved by May 21, 2013
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A003415:
, the
arithmetic derivative of
n: a (0) = a (1) = 0, a ( prime) = 1, a (m n) = m a (n) + n a (m) |
.
-
{ 0, 0, 1, 1, 4, 1, 5, 1, 12, 6, 7, 1, 16, ... }
Based on the
product rule for differentiation of functions: for functions
and
,
. So with numbers,
. This implies
.