What comes next?

[Thomas Klemm]

Or then use the binomial transform T and add as many 0 as you like to predict the next elements:

{ 1 2 4 8 16 }
T

{ 1 -1 1 -1 1 }

{ 0 0 0 0 0 }
+

{ 1 -1 1 -1 1 0 0 0 0 0 }

T

{ 1 2 4 8 16 31 57 99 163 256 }

---

As a simple program to add what comes next:

Code:

\<< T 0 + T
\>>