A309222 - OEIS

A309222

a(0) = 6; thereafter a(n) = a(n-1) + prime(n) if prime(n) > a(n-1), otherwise a(n) = a(n-1) - prime(n).

6, 4, 1, 6, 13, 2, 15, 32, 13, 36, 7, 38, 1, 42, 85, 38, 91, 32, 93, 26, 97, 24, 103, 20, 109, 12, 113, 10, 117, 8, 121, 248, 117, 254, 115, 264, 113, 270, 107, 274, 101, 280, 99, 290, 97, 294, 95, 306, 83, 310, 81, 314, 75, 316, 65, 322, 59, 328, 57, 334, 53, 336, 43, 350, 39, 352

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

Hugo van der Sanden asks if this ever reaches 0. He finds that a(n) > 0 for n < 5*10^10. Probabilistic arguments suggest it will never reach 0.

REFERENCES

Hugo van der Sanden, Posting to Sequence Fans Mailing List, Aug 28 2019

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..20000

CROSSREFS

If we start with 0 or 1 instead of 6 we get A008348, A022837.

Similar in spirit to A008344, and has a similar graph.