User blog comment:QuasarBooster/Fibonacci/Lucas Sequence Extentions?/@comment-2033667-20150730072029/@comment-2033667-20150730075437

Hmm, I think I made a sign error or something. Binet's formula gives the very simple expression $$S_a(n) = F_n - aF_{n-1}$$, which would imply that $$S_a$$ grows slower for larger a.