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A332518
a(n+1) is the number of times a(n) is the product of one or more consecutive terms in this sequence so far with a(1) = 1.
6
1, 1, 3, 3, 4, 1, 4, 4, 5, 1, 5, 4, 6, 1, 6, 4, 7, 1, 7, 4, 8, 1, 8, 4, 9, 4, 10, 1, 9, 6, 5, 5, 6, 6, 7, 5, 7, 6, 8, 5, 8, 6, 9, 7, 7, 8, 7, 9, 8, 8, 9, 9, 10, 3, 5, 9, 11, 1, 10, 5, 10, 6, 10, 7, 10, 8, 10, 9, 12, 3, 6, 11, 3, 7, 11, 4, 11, 5, 11, 6, 12, 4
OFFSET
1,3
COMMENTS
This sequence is a multiplicative variant of A331614.
This sequence is unbounded.
LINKS
EXAMPLE
The first terms, alongside the corresponding products, are:
n a(n) Products
-- ---- --------
1 1 a(1)
2 1 a(1), a(1)*a(2), a(2)
3 3 a(1)*a(2)*a(3), a(2)*a(3), a(3)
4 3 a(1)*a(2)*a(3), a(2)*a(3), a(3), a(4)
5 4 a(5)
6 1 a(1), a(1)*a(2), a(2), a(6)
7 4 a(5), a(5)*a(6), a(6)*a(7), a(7)
8 4 a(5), a(5)*a(6), a(6)*a(7), a(7), a(8)
9 5 a(9)
10 1 a(1), a(1)*a(2), a(2), a(6), a(10)
11 5 a(9), a(9)*a(10), a(10)*a(11), a(11)
12 4 a(5), a(5)*a(6), a(6)*a(7), a(7), a(8), a(12)
PROG
(C) See Links section.
CROSSREFS
Cf. A331614.
Sequence in context: A309888 A245250 A179561 * A353662 A062366 A278635
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Feb 15 2020
STATUS
approved