In an answer in question in here diagram depicting pascals triangle ,I do not understand why in 14th row entries given are: $1, 13, 78, 186$ etc, is $186$ a typo?
Because:
$$1 \times \frac{13+1-1}1 = 13.0$$ $$13 \times \frac{13+1-2}2 = 78.0$$ $$ 78 \times \frac{13+1-3}3 = 286.0$$
If $186$ is not a typo, can some please explain why is this the case? Above calculations are from "Calculating a row or diagonal by itself" section of wiki page for pascals triangle.
It is appropriate put it as comment in the question, I joined stack exchange few minutes and I don't have the privilege to do so.
Yes, that's a typo. Apart from your calculation, it should also be the sum of the two numbers, above, $66+220=286$.