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A338224 Multiplicative with a(A246655(k)) = prime(k) for any k > 0 (where prime(k) denotes the k-th prime number). 1

%I #13 Jan 31 2021 17:07:59

%S 1,2,3,5,7,6,11,13,17,14,19,15,23,22,21,29,31,34,37,35,33,38,41,39,43,

%T 46,47,55,53,42,59,61,57,62,77,85,67,74,69,91,71,66,73,95,119,82,79,

%U 87,83,86,93,115,89,94,133,143,111,106,97,105,101,118,187,103

%N Multiplicative with a(A246655(k)) = prime(k) for any k > 0 (where prime(k) denotes the k-th prime number).

%C All terms are distinct and squarefree.

%C This sequence has similarities with A160102, however some squarefree numbers do not appear here.

%H Rémy Sigrist, <a href="/A338224/b338224.txt">Table of n, a(n) for n = 1..10000</a>

%e a(3) = a(A246655(2)) = prime(2) = 3.

%e a(4) = a(A246655(3)) = prime(3) = 5.

%e a(12) = a(3) * a(4) = 3*5 = 15.

%o (PARI) pk = select(v -> omega(v)==1, [1..m=64]); for (n=1, m, f=factor(n); print1 (prod(k=1, #f~, prime(setsearch(pk, f[k,1]^f[k,2])))", "))

%Y Cf. A005117, A160102, A246655.

%K nonn,mult

%O 1,2

%A _Rémy Sigrist_, Jan 30 2021

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Last modified July 15 16:36 EDT 2024. Contains 374333 sequences. (Running on oeis4.)