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

1,1

Comments

See A355061 for further details.

Links

Table of n, a(n) for n=1..58.

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

Prog

(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

Crossrefs

Cf. A355061, A355139.

Sequence in context: A079858 A224152 A174356 * A121357 A098926 A074610

Adjacent sequences: A355135 A355136 A355137 * A355139 A355140 A355141

Keyword

nonn

Author

Scott R. Shannon, Jun 20 2022

Status

approved