This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A138031 #19 Jul 03 2025 10:37:05 %S A138031 8192,1594323,1220703125,96889010407,34522712143931,302875106592253, %T A138031 9904578032905937,42052983462257059,504036361936467383, %U A138031 10260628712958602189,24417546297445042591,243569224216081305397,925103102315013629321,1718264124282290785243 %N A138031 a(n) = prime(n)^13. %H A138031 Vincenzo Librandi, <a href="/A138031/b138031.txt">Table of n, a(n) for n = 1..1000</a> %F A138031 From _Amiram Eldar_, Jan 24 2021: (Start) %F A138031 Product_{n>=1} (1 + 1/a(n)) = zeta(13)/zeta(26). %F A138031 Product_{n>=1} (1 - 1/a(n)) = 1/zeta(13) = 1/A013671. (End) %t A138031 Array[Prime[ # ]^13 &, 10] %t A138031 Prime[Range[30]]^13 (* _Vincenzo Librandi_, Mar 27 2014 *) %o A138031 (Magma) [p^13: p in PrimesUpTo(100)]; // _Vincenzo Librandi_, Mar 27 2014 %o A138031 (PARI) A138031(n)=prime(n)^13 \\ _M. F. Hasler_, Jul 03 2025 %Y A138031 Subsequence of A010801 (13th powers). %Y A138031 Cf. A000040 (primes), A013671 (zeta(13)). %K A138031 nonn,easy %O A138031 1,1 %A A138031 _Vladimir Joseph Stephan Orlovsky_, May 01 2008 %E A138031 More terms from _Vincenzo Librandi_, Mar 27 2014