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.

A013894 a(n) = 20^(5*n + 1).

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%I A013894 #27 Jul 13 2025 17:08:43
%S A013894 20,64000000,204800000000000,655360000000000000000,
%T A013894 2097152000000000000000000000,6710886400000000000000000000000000,
%U A013894 21474836480000000000000000000000000000000,68719476736000000000000000000000000000000000000,219902325555200000000000000000000000000000000000000000
%N A013894 a(n) = 20^(5*n + 1).
%H A013894 Vincenzo Librandi, <a href="/A013894/b013894.txt">Table of n, a(n) for n = 0..50</a>
%H A013894 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.
%H A013894 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (3200000).
%F A013894 a(n) = 3200000*a(n-1), a(0)=20. - _Vincenzo Librandi_, May 27 2011
%F A013894 From _Elmo R. Oliveira_, Jul 11 2025: (Start)
%F A013894 G.f.: 20/(1-3200000*x).
%F A013894 E.g.f.: 20*exp(3200000*x).
%F A013894 a(n) = A013822(n)*A013854(n) = A009964(A016861(n)). (End)
%t A013894 NestList[3200000*# &, 20, 10] (* _Paolo Xausa_, Jul 13 2025 *)
%o A013894 (Magma) [20^(5*n+1): n in [0..10]]; // _Vincenzo Librandi_, May 27 2011
%Y A013894 Subsequence of A009964.
%Y A013894 Cf. A013822, A013854, A016861.
%K A013894 nonn,easy
%O A013894 0,1
%A A013894 _N. J. A. Sloane_