Intended for: October 15, 2011
Timetable
- First draft entered by Alonso del Arte on August 8, 2011 ✓
- Draft reviewed by Mitch Harris on August 9, 2011 ✓
- Draft approved by Daniel Forgues on October 17, 2012 ✓
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A011371:
minus its
binary weight,
.
-
{ 0, 0, 1, 1, 3, 3, 4, 4, 7, 7, ... }
This is also the exponent of the highest power of
2 dividing
-
This sequence shows why, in
binary,
0 and
1 are the only two numbers
such that
equals the sum of its digits raised to the consecutive powers.
1 raised to any consecutive power is still
1 and thus any sum of digits raised to consecutive powers for any
falls short of equaling the value of
by the
-th number of this sequence.
