
COMMENTS

Serves as a sieve to indicate the appearance of a new prime (at the descents). Primes enter in increasing order.
From Robert G. Wilson v, Sep 04 2017: (Start)
Records: 1, 2, 4, 6, 9, 12, 15, 20, 25, 30, 35, 42, 49, 56, 63, 70, 77, 88, 99, 110, 121, 132, 143, 156, 169, 182, 195, 208, 221, 238, 255, 272, 289, 306, etc.
Where n occurs, or 1 if it does not: 0, 1, 4, 2, 8, 3, 14, 1, 5, 9, 24, 6, 36, 15, 7, 1, 52, 1, 70, 10, 16, 25, 92, 1, 11, 37, 1, 17, 120, 12, 150, 1, 26, 53, 13, 1, 186, 71, 38, 1, 226, 18, 268, 27, 1, 93, 314, 1, 19, 1, etc.
Terms which do not occur: 8, 16, 18, 24, 27, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 81, 84, 90, 96, 98, 100, etc.
If x is a prime power, p^i, which does not appear, then p^j does not appear as well where j > i.
(End)
For n>=1, the number of consecutive terms having prime(n) as greatest prime factor is prime(n+1).  David James Sycamore, Jul 09 2018
