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a(n) = prime(n)^13.
10

%I #16 Sep 08 2022 08:45:33

%S 8192,1594323,1220703125,96889010407,34522712143931,302875106592253,

%T 9904578032905937,42052983462257059,504036361936467383,

%U 10260628712958602189,24417546297445042591,243569224216081305397,925103102315013629321,1718264124282290785243

%N a(n) = prime(n)^13.

%H Vincenzo Librandi, <a href="/A138031/b138031.txt">Table of n, a(n) for n = 1..1000</a>

%F From _Amiram Eldar_, Jan 24 2021: (Start)

%F Product_{n>=1} (1 + 1/a(n)) = zeta(13)/zeta(26).

%F Product_{n>=1} (1 - 1/a(n)) = 1/zeta(13) = 1/A013671. (End)

%t Array[Prime[ # ]^13 &, 10]

%t Prime[Range[30]]^13 (* _Vincenzo Librandi_, Mar 27 2014 *)

%o (Magma) [p^13: p in PrimesUpTo(100)]; // _Vincenzo Librandi_, Mar 27 2014

%Y Subsequence of A010801.

%Y Cf. A000040, A013671.

%K nonn,easy

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, May 01 2008

%E More terms from _Vincenzo Librandi_, Mar 27 2014