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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. 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This sequence is a multiplicative variant of A331614.

This sequence is unbounded.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, C program for A332518

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 * A062366 A278635 A294656

Adjacent sequences:  A332515 A332516 A332517 * A332519 A332520 A332521

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Feb 15 2020

STATUS

approved

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Last modified August 1 03:05 EDT 2021. Contains 346379 sequences. (Running on oeis4.)