A366864 Numbers m such that A366470(m) > A366470(m-1).

4, 5, 10, 13, 24, 39, 84, 168, 370, 836, 1998, 4622, 11284, 28151, 53565, 138230, 334125, 659741, 1716635, 3977282, 10430384, 27132843, 71588934, 189472352, 505341104, 1353331592

Offset

1,1

Comments

Inspired by N. J. A. Sloane's remark about the graph of A366470 consisting of decreasing segments. Terms mark the beginning of these segments in the graph of A366470. Appears to grow exponentially. Terms seem to be near the values of t_i described in Sloane's sketch at A364054.

Links

Table of n, a(n) for n=1..26.

Seqfan discussion, Re: Ali Sada's A364054.

Prog

(Python)
from itertools import count, islice
from sympy import nextprime
def A366864_gen(): # generator of terms
    a, aset, p = 1, {0, 1}, 2
    for i in count(3):
        for b in count(a, p):
            if b not in aset:
                aset.add(b)
                c = b%(p:=nextprime(p))
                if c > a:
                    yield i
                a = c
                break
A366864_list = list(islice(A366864_gen(), 20))

Crossrefs

Cf. A364054, A366470.

Sequence in context: A283246 A236283 A357865 * A322610 A322468 A116930

Adjacent sequences: A366861 A366862 A366863 * A366865 A366866 A366867

Keyword

nonn,more

Author

Chai Wah Wu, Oct 25 2023

Status

approved