Cody Problem 45367 involved the Sieve of Eratosthenes, and Cody Problem 50811 involved the Sieve of Flavius Josephus. To apply the golden sieve, start with the natural numbers and at the nth step, take the sequence, which we will call a, and delete the term in the 
position.
position. In the first step, delete the term in the 
position to get 2, 3, 4, 5, 6, 7,…Then in the second step, delete the term in the 
position (i.e., 4) to get 2, 3, 5, 6, 7, 8, 9,…In the third step, delete the term in the 
position (i.e., 7) to get 2, 3, 5, 6, 8, 9, 10,…Et cetera.
position to get 2, 3, 4, 5, 6, 7,…Then in the second step, delete the term in the position (i.e., 4) to get 2, 3, 5, 6, 7, 8, 9,…In the third step, delete the term in the position (i.e., 7) to get 2, 3, 5, 6, 8, 9, 10,…Et cetera.Write a function that returns the nth term in the sequence after an infinite number of steps.
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OK, but you can you *derive* that formula?
Does “look up in OEIS” count as “derive”?
Tim: You, William, David, and others have figured me out. I suppose there are worse habits than repeatedly clicking the "Webcam" button on OEIS.