Friday, September 19, 2025

A Rock of Sisyphus Reached One

 

An interesting variation of the Sisyphus Sequence, A350877,  is starting the sequence with 1008973 instead of 1. With most first terms, the sequence eventually reaches 1; however, in the case of 1008973, it didn't appear that 1 would be reached. Then, after 3584971546 terms, 1 is reached. 

This is documented in the Online Encyclopedia of Integer Sequences (OEIS) with sequence https://oeis.org/A388141.

The number of steps required to reach 1 when starting the Sisyphus Sequence with integer n, is A388038.

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