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based on an earlier version of the Wolfram Language.
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FoldListSelect

ComposeList

FilledSmallSquareComposeList[, , ... , x] generates a list of the form x, [x], [[x]], ... .

FilledSmallSquare Example: ComposeList[a, b, c, x] LongRightArrow.

FilledSmallSquare See The Mathematica Book: Section 2.2.6.

FilledSmallSquare See also: NestList, FoldList, NestWhileList.

Further Examples

FoldListSelect