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Permutations are arrangements of the numbers $1,\ldots,n$ in an arbitrary order.

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Iterative permutations, but favoring swaps of early elements

I'm familiar with the Steinhaus–Johnson–Trotter algorithm, which allows for the iterative yielding of permutations of a sequence by performing a single swap per iteration. … Yield all permutations of the remaining $i-1$ elements (using these rules) surrounding the position $i-k$. …
Dan Bryant's user avatar