A355138 The products of consecutive terms in A355061.

2, 12, 90, 525, 490, 84, 198, 1815, 550, 60, 126, 735, 350, 120, 252, 1617, 1694, 132, 234, 2535, 650, 140, 294, 315, 150, 220, 726, 495, 300, 280, 882, 945, 600, 560, 1078, 2541, 396, 168, 1274, 3549, 468, 240, 700, 2205, 378, 156, 1690, 975, 180, 264, 1210, 825, 270, 504, 980, 1575, 540, 312

Offset: 1

Author

Scott R. Shannon, Jun 20 2022

Keywords

• nonn

Comments

See A355061 for further details.

Links

• Scott R. Shannon, Image of the first 250000 terms.

Crossrefs

Cf. A355061, A355139.

Programs

Python

from sympy import primefactors
from itertools import count, islice
def agen(): # generator of terms
    an1, an, f1, f, pset = 2, 6, {2}, {2, 3}, {2, 12}
    yield from [2, 12]
    for n in count(4):
        an2, an1, an, f2, f1 = an1, an, 6, f1, f
        f = set(primefactors(an))
        while an*an1 in pset or f1&f == set() or f2&f != set() or f <= f1:
            an += 1; f = set(primefactors(an))
        pset.add(an*an1); yield an*an1
print(list(islice(agen(), 58))) # Michael S. Branicky, Jun 20 2022