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.

A013825 a(n) = 2^(5*n + 4).

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%I A013825 #27 Feb 22 2025 21:11:10
%S A013825 16,512,16384,524288,16777216,536870912,17179869184,549755813888,
%T A013825 17592186044416,562949953421312,18014398509481984,576460752303423488,
%U A013825 18446744073709551616,590295810358705651712,18889465931478580854784,604462909807314587353088,19342813113834066795298816
%N A013825 a(n) = 2^(5*n + 4).
%H A013825 Vincenzo Librandi, <a href="/A013825/b013825.txt">Table of n, a(n) for n = 0..200</a>
%H A013825 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.
%H A013825 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (32).
%F A013825 From _Philippe Deléham_, Nov 24 2008: (Start)
%F A013825 a(n) = 32*a(n-1), n > 0; a(0)=16.
%F A013825 G.f.: 16/(1-32*x).
%F A013825 a(n) = 16*A009976(n). (End)
%F A013825 From _Elmo R. Oliveira_, Feb 20 2025: (Start)
%F A013825 E.g.f.: 16*exp(32*x).
%F A013825 a(n) = A000079(A016897(n)). (End)
%t A013825 2^(5*Range[0, 20] + 4) (* or *) NestList[32#&,16,20] (* _Harvey P. Dale_, Sep 27 2015 *)
%o A013825 (Magma) [2^(5*n+4): n in [0..15]]; // _Vincenzo Librandi_, Jul 07 2011
%Y A013825 Cf. A000079 (2^n), A009976, A016897 (5*n+4).
%K A013825 nonn,easy
%O A013825 0,1
%A A013825 _N. J. A. Sloane_