Here is a silly game which is only four megabytes and takes about sixty seconds to fully complete and is free http://jonathanwhiting.com/ld/37/
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The game does not go on forever; the sixth level of nesting is the last one. Autoplay mode solves it in about 15 minutes or so
Each level of nesting in this game takes just over twice as many moves to solve as the previous one.
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The solution to the first level is FFFFFFFRFFFFLFFRFFFFRFFFFRFFLFFF (32 moves), plus FFFB to position yourself to solve the next level
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To solve the next level, replace "F", "R", "L" and "B" with "FB", "RFBL", "LFBR" and "BF" respectively. Repeat for each level of nesting
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