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A338775 a(n+1) is the number of times a(n) is the least common multiple of one or more consecutive terms in this sequence so far with a(1) = 1. 1

%I #12 Nov 12 2020 01:16:47

%S 1,1,3,3,7,1,4,2,1,5,2,3,8,1,6,3,9,2,4,8,5,3,10,5,4,9,3,11,1,7,4,10,7,

%T 5,5,7,6,6,8,6,9,5,8,7,7,9,6,10,8,8,10,9,7,10,10,12,1,8,12,3,12,7,11,

%U 3,13,1,9,9,12,8,13,3,14,1,10,14,3,15,3,16,1

%N a(n+1) is the number of times a(n) is the least common multiple of one or more consecutive terms in this sequence so far with a(1) = 1.

%C This sequence is a variant of A332518.

%C This sequence is unbounded.

%H Rémy Sigrist, <a href="/A338775/b338775.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A338775/a338775.png">Density plot of the first 10000000 terms</a>

%H Rémy Sigrist, <a href="/A338775/a338775.gp.txt">PARI program for A338775</a>

%e For n = 2:

%e - a(1) = lcm(a(1)),

%e - so a(2) = 1.

%e For n = 3:

%e - a(2) = lcm(a(1)) = lcm(a(2)) = lcm(a(1), a(2)),

%e - so a(3) = 3.

%e For n = 4:

%e - a(3) = lcm(a(3)) = lcm(a(2), a(3)) = lcm(a(1), a(2), a(3)),

%e - so a(4) = 3.

%o (PARI) See Links section.

%Y Cf. A332518.

%K nonn

%O 1,3

%A _Rémy Sigrist_, Nov 08 2020

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Last modified April 24 07:35 EDT 2024. Contains 371922 sequences. (Running on oeis4.)