I Is there a consensus about the meaning of the Christoffel symbols' indices?

[Rick16]

TL;DR Summary

Is there a consensus about the meaning of the Christoffel symbols' indices?

This is from Giancarlo Bernacchi's book "Tensors made easy":

And this is from Daniel Fleisch's book "A Student's Guide to Vectors and Tensors":

The meaning of the two lower indices is exchanged in the two explanations. Is one of them correct and the other one wrong, or is there no consensus about this?

 

[Ibix]

The Christoffel symbols are given by$$\Gamma^i_{jk}=\frac 12g^{il}\left(
\partial_jg_{kl}
+\partial_jg_{lk}
-\partial_lg_{jk}
\right)$$This is symmetric in the lower indices, so it makes no difference which of those indices you define as doing what.

 

[Rick16]

I see, thank you.