Template:Noble Boolean functions/row sums

The row sum of $$\Phi_n$$ for $$n \ge 1$$ is $$ 2^a \cdot (2^b - 1) =  2^{a+b} - 2^a $$ with $$ a = 2^{n-1} $$ and $$ b = 2^n - 1 $$. That is a binary number consisting of $$a$$ 0s at the little and $$b$$ 1s at the big end.

E.g. that of $$\Phi_2$$ is 0 + 6 + 8 + 14 = 28. (11100 as a binary number.)