A354149 Odd numbers in A090252 in order of appearance.

1, 3, 5, 7, 9, 11, 13, 17, 19, 23, 25, 21, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 55, 79, 27, 49, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 85, 121, 223, 227, 57, 229, 161, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331

Offset: 1

Author

N. J. A. Sloane, May 22 2022

Keywords

• nonn

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..9988

Crossrefs

Cf. A090252, A354146, A354148.

Programs

Python

from math import gcd, prod
from itertools import count, islice
def agen(): # generator of terms
    alst, aset, mink = [1], {1}, 2; yield 1
    for n in count(2):
        k, s = mink, n - n//2
        prodall = prod(alst[n-n//2-1:n-1])
        while k in aset or gcd(prodall, k) != 1: k += 1
        alst.append(k); aset.add(k)
        if k%2 == 1: yield k
        while mink in aset: mink += 1
print(list(islice(agen(), 77))) # Michael S. Branicky, May 23 2022