login
a(n) is the least k such that A360519(k) is divisible by the n-th prime number.
1

%I #8 Mar 03 2023 13:53:14

%S 2,2,3,4,8,17,24,32,40,48,50,54,58,69,73,104,120,122,126,137,141,160,

%T 164,176,200,202,206,208,210,229,252,260,276,280,304,308,312,332,336,

%U 344,361,376,388,392,400,404,428,452,468,472,480,496,500,508,520,532

%N a(n) is the least k such that A360519(k) is divisible by the n-th prime number.

%H Rémy Sigrist, <a href="/A361117/b361117.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A361117/a361117.gp.txt">PARI program</a>

%F a(n) <= a(n+1).

%e The first terms of A360519 alongside their prime factors and the corresponding terms of this sequence are:

%e n A360519(n) Primes Terms

%e - ---------- ------ --------------

%e 1 1 None

%e 2 6 2, 3 a(1)=2, a(2)=2

%e 3 10 2, 5 a(3)=3

%e 4 35 5, 7 a(4)=4

%e 5 21 3, 7

%e 6 12 2, 3

%e 7 20 2, 5

%e 8 55 5, 11 a(5)=8

%o (PARI) See Links section.

%Y Cf. A360519.

%K nonn

%O 1,1

%A _Scott R. Shannon_, _Rémy Sigrist_ and _N. J. A. Sloane_, Mar 03 2023