cp's OEIS Frontend

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.

A085529 a(n) = (2n+1)^(2n+1).

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%I A085529 #20 May 17 2022 03:43:41
%S A085529 1,27,3125,823543,387420489,285311670611,302875106592253,
%T A085529 437893890380859375,827240261886336764177,1978419655660313589123979,
%U A085529 5842587018385982521381124421,20880467999847912034355032910567,88817841970012523233890533447265625,443426488243037769948249630619149892803
%N A085529 a(n) = (2n+1)^(2n+1).
%C A085529 a(n) == 2*n + 1 (mod 24). - _Mathew Englander_, Aug 16 2020
%F A085529 From _Mathew Englander_, Aug 16 2020: (Start)
%F A085529 a(n) = A000312(2*n + 1).
%F A085529 a(n) = A016754(n)^n * (2*n + 1).
%F A085529 a(n) = A085527(n)^2 * (2*n + 1).
%F A085529 a(n) = A085528(n)^2 / (2*n + 1).
%F A085529 a(n) = A085530(n) * A005408(n).
%F A085529 a(n) = A085531(n) * A016754(n).
%F A085529 a(n) = A085532(n)^2 - A215265(2*n + 1).
%F A085529 a(n) = A085533(n) + A045531(2*n + 1).
%F A085529 a(n) = A085534(n+1) - A007781(2*n + 1).
%F A085529 a(n) = A085535(n+1) - A055869(2*n + 1).
%F A085529 (End)
%F A085529 Sum_{n>=0} 1/a(n) = (A073009 + A083648)/2 = 1.0373582538... . - _Amiram Eldar_, May 17 2022
%t A085529 #^#&/@Range[1,31,2] (* _Harvey P. Dale_, Oct 05 2019 *)
%Y A085529 Cf. A000312, A005408, A016754, A085527, A085528, A085530, A085531, A085532, A085533, A085534, A085535.
%Y A085529 Cf. A073009, A083648.
%K A085529 nonn
%O A085529 0,2
%A A085529 _N. J. A. Sloane_, Jul 05 2003