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Noting that the continuant $Q↓4(x↓1,x↓2,x↓3,x↓4)=x↓1x↓2x↓3x↓4
+x↓1x↓2+x↓1x↓4+x↓3x↓4+1$, find and prove a simple relation between
$Q↓n(x↓1, \ldotss , x↓n)$ and Morse code sequences of length\penalty 1000\
$n$.\xskip (b) (L. Euler, {\sl Novi Comm.\ Acad.\ Sci.\ Pet.\ \bf 9}
(1762), 53--69.)\xskip Prove that $$\twoline{Q↓{m+n}(x↓1, \ldotss , x↓{m+n})
= Q↓m(x↓1, \ldotss , x↓m)Q↓n(x↓{m+1}, \ldotss , x↓{m+n})}{2pt}{\null + Q↓{m-1}(x↓1,
\ldotss , x↓{m-1})Q↓{n-1}(x↓{m+2}, \ldotss , x↓{m+n}).}$$