Stirling Numbers of the Second Kind/Examples
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Examples of Stirling Numbers of the Second Kind
$5$th Power
- $x^5 = x^{\underline 5} + 10 x^{\underline 4} + 25 x^{\underline 3} + 15 x^{\underline 2} + x^{\underline 1}$
and so:
- $x^5 = 120 \dbinom x 5 + 240 \dbinom x 4 + 150 \dbinom x 3 + 30 \dbinom x 2 + \dbinom x 1$