Is there another name for this "power of two" sequence?

Question

I was recently asked how to call a number sequence, and since I am not sure about naming conventions, I am grateful for any help.

There is a sequence of real numbers, where:

A slice of this sequence will look like that: 0.0625, 0.125, 0.25, 0.5, 1, 2, 4, 8, 16, 32.

Is there a well-known name for this sequence? I see powers of two, starting from 1, but is there a name like “integers” or “Fibonacci numbers”?

Are there separate names for an integer part and fractional part? I saw several names in OEIS, but what about fractional part?

The numbers on the left (less than $1$) are negative powers of $2$ — Henry, Jan 08 '20 at 14:02
That's a geometric sequence with coefficient $q=2$ & first term $a_1=0.0625$ — PinkyWay, Jan 08 '20 at 14:08

score 7 · Accepted Answer · answered Jan 08 '20 at 14:07

7

It is called a geometric progression of common ratio 2. The first element of the sequence is the scale factor.

answered Jan 08 '20 at 14:07

J.-E. Pin

1 Answers1