OFFSET
1,4
COMMENTS
This sequence has similarities with A088177; here we consider products of three consecutive terms, there products of two consecutive terms.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10000
EXAMPLE
The first terms, alongside a(n)*a(n+1)*a(n+2), are:
n a(n) a(n)*a(n+1)*a(n+2)
-- ---- ------------------
1 1 1
2 1 2
3 1 4
4 2 8
5 2 12
6 2 6
7 3 3
8 1 5
9 1 10
10 5 20
PROG
(PARI) s=0; pp=p=1; for (n=1, 86, for (v=1, oo, if (!bittest(s, q=pp*p*v), print1 (pp", "); s+=2^q; pp=p; p=v; break)))
(Python)
def aupton(terms):
alst, pset = [1, 1], set()
for n in range(3, terms+1):
p = p2 = alst[-1]*alst[-2]
while p in pset: p += p2
alst.append(p//p2); pset.add(p)
return alst
print(aupton(86)) # Michael S. Branicky, Nov 12 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Nov 11 2021
STATUS
approved