Introducing, the signed factorial: ¡n! = n × -(n-1) × (n-2) x -(n-3) x ... x (-1)(n-2)(2) ×(-1)^(n-1)(1)
It's the same calculation but you also take a shot of vodka for all integers less than n but greater than 0
The Spanish notation makes the parentheses around n-k obsolete, clearly saving one symbol in some formulas is worth introducing a new one in others.
¡Nobody expects the Spanish notation!