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.

A085534 a(n) = (2n)^(2n).

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%I A085534 #49 Nov 19 2022 00:53:53
%S A085534 1,4,256,46656,16777216,10000000000,8916100448256,11112006825558016,
%T A085534 18446744073709551616,39346408075296537575424,
%U A085534 104857600000000000000000000,341427877364219557396646723584,1333735776850284124449081472843776,6156119580207157310796674288400203776
%N A085534 a(n) = (2n)^(2n).
%C A085534 All terms are both perfect squares and numbers of the form n^n. - _William Boyles_, Jul 31 2015
%C A085534 Intersection of A000290 and A000312. - _Michel Marcus_, Aug 04 2015
%C A085534 Intersection of A005843 and A000312. - _Robert Israel_, Aug 04 2015
%C A085534 The number of sequences of length 2n using 2n symbols. - _Washington Bomfim_, Jan 14 2020
%H A085534 Alois P. Heinz, <a href="/A085534/b085534.txt">Table of n, a(n) for n = 0..100</a>
%F A085534 a(n) = A000312(2*n). - _Michel Marcus_, Jul 31 2015
%F A085534 a(n) = A062971(n)^2. - _Michel Marcus_, Aug 04 2015
%F A085534 a(n) = [x^(2*n)] 1/(1 - 2*n*x). - _Ilya Gutkovskiy_, Oct 10 2017
%F A085534 Sum_{n>=0} 1/a(n) = 1 + (A073009-A083648)/2 = 1.2539277431... . - _Amiram Eldar_, May 17 2022
%t A085534 {1}~Join~Table[(2 n)^(2 n), {n, 1, 4!}] (* _Michael De Vlieger_, Aug 04 2015 *)
%o A085534 (Python)
%o A085534 def A085534(n): return (m:=n<<1)**m # _Chai Wah Wu_, Nov 18 2022
%Y A085534 Cf. A000312, A073009, A083648, A085529.
%Y A085534 Column k=0 of A246070.
%K A085534 nonn
%O A085534 0,2
%A A085534 _N. J. A. Sloane_, Jul 05 2003