From the Super Mario Wiki, the Mario encyclopedia
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The Scuttle is a move mainly used by Luigi in several games in the Super Mario series. It is similar to Yoshi's Flutter Jump, except that it does not propel Luigi up. Instead, Scuttle will slow Luigi's descent after jumping. This will allow Luigi to reach greater horizontal distances and allows the player to easily control the landing. The animation for the technique is Luigi kicking his feet in the air, which is also similar to Mario or Luigi's fall under the influence of a Mini Mushroom.
Super Mario series
Super Mario Bros. 2
Super Mario World: Super Mario Advance 2
Super Mario Advance 4: Super Mario Bros. 3
While Luigi always kicks his legs when he jumps (unless he's holding an item) in Super Mario Advance 4: Super Mario Bros. 3, the gameplay effects of this move are only available when the Yellow Switch is active; it is always on in World-e.
Super Mario 64 DS
New Super Luigi U / New Super Mario Bros. U Deluxe
In New Super Luigi U, the Scuttle technique reappears, letting Luigi move horizontally at a higher altitude. In this game, Yellow Toad, Blue Toad, Nabbit, and Miis can also use this move. In the New Super Mario Bros. U Deluxe version of the game, Toadette can also use this move.
Super Mario 3D World
In Super Mario 3D World, Luigi kicks his legs during the entire jump (reminiscent of the move's appearance in Super Mario Bros. 2), as opposed to only doing so as he descends; this reduces his speed both upwards and downwards, making both halves of his jump easier to control.
Super Mario Maker
Super Mario Run
Luigi retains his scuttle to slow his descent in Super Mario Run.
Super Smash Bros. series
In Super Smash Bros. for Nintendo 3DS / Wii U and Super Smash Bros. Ultimate, Luigi's jumps use a Scuttling animation, as opposed to his jumps in previous games in the Super Smash Bros. series, where they were similar to Mario's.