-1
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Number
$-1$ (minus one) is:
- The largest strictly negative integer
- The $1$st integer $n$ such that $\dbinom n 0 + \dbinom n 1 + \dbinom n 2 + \dbinom n 3 = m^2$ for integer $m$:
- $\dbinom {-1} 0 + \dbinom {-1} 1 + \dbinom {-1} 2 + \dbinom {-1} 3 = 0^2$