A366864 -id:A366864 - cp's OEIS frontend

A366868 a(n) = A366470(A366864(n)-1).

0, 1, 0, 1, 6, 1, 6, 15, 24, 29, 22, 1, 0, 7, 6, 11, 48, 109, 0, 7, 66, 155, 54, 21, 16, 11

Offset: 1

Chai Wah Wu, Oct 25 2023

Terms of A366470 at the end of a segment. Some values, e.g. 0, 1, 6, 7, 11, occur multiple times. Will they occur infinitely often?

Cf. A364054, A366470, A366864, A366869.

from itertools import count, islice
from sympy import nextprime
def A366868_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 a
                a = c
                break
A366868_list = list(islice(A366868_gen(),20))

A366869 a(n) = A366470(A366864(n)).

Original entry on oeis.org

1, 4, 15, 26, 81, 158, 417, 990, 2491, 6402, 17363, 44450, 119773, 326786, 659957, 1845500, 4779649, 9921002, 27575339, 67458614, 187615521, 515594444, 1433794185, 3989181038, 11160791967, 31287537756

Offset: 1

Chai Wah Wu, Oct 25 2023

Terms of A366470 at the beginning of a segment (except for the first segment).

Cf. A364054, A366470, A366864, A366868.

from itertools import count, islice
from sympy import nextprime
def A366869_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 c
                a = c
                break
A366869_list = list(islice(A366869_gen(), 20))

cp's OEIS Frontend

A366868 a(n) = A366470(A366864(n)-1).

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