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You can find the definition of the function, a statement about the function's values, and an inductive proof, in the Wikipedia article "Carmichael function", which I won't repeat here.
The pattern is that for the first number, add 1. For the second number, subtract. Repeat to negative infinity. So the next number will be 3.
The verb for repetition is repeat. As in "to repeat something or someone".
Looking at the rest of the 21st century, the 2011 calendar repeats in 2022, 2033, 2039, 2050, 2061, 2067, 2078, 2089 and 2095.