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A297002 Completely multiplicative with a(prime(k)) = prime(2 * k) (where prime(k) denotes the k-th prime). 11

%I #15 Sep 24 2018 08:54:58

%S 1,3,7,9,13,21,19,27,49,39,29,63,37,57,91,81,43,147,53,117,133,87,61,

%T 189,169,111,343,171,71,273,79,243,203,129,247,441,89,159,259,351,101,

%U 399,107,261,637,183,113,567,361,507,301,333,131,1029,377,513,371

%N Completely multiplicative with a(prime(k)) = prime(2 * k) (where prime(k) denotes the k-th prime).

%C This sequence is a permutation of {1} union A066207.

%C This sequence is the third row of A248601.

%H Rémy Sigrist, <a href="/A297002/b297002.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A248601(3, n) for any n > 0.

%t Array[Times @@ Map[Power @@ # &, FactorInteger[#] /. {p_, e_} /; p > 1 :> {Prime[2 PrimePi@ p], e}] &, 57] (* _Michael De Vlieger_, Dec 23 2017 *)

%o (PARI) a(n) = my (f=factor(n)); prod(i=1, #f~, prime(2 * primepi(f[i,1]))^f[i,2])

%Y Cf. A066207, A248601.

%K easy,nonn,mult

%O 1,2

%A _Rémy Sigrist_, Dec 23 2017

%E Comment corrected by _Rémy Sigrist_, Sep 22 2018

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Last modified April 24 16:34 EDT 2024. Contains 371961 sequences. (Running on oeis4.)