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 A013822 #27 Feb 19 2025 23:32:00 %S A013822 2,64,2048,65536,2097152,67108864,2147483648,68719476736, %T A013822 2199023255552,70368744177664,2251799813685248,72057594037927936, %U A013822 2305843009213693952,73786976294838206464,2361183241434822606848,75557863725914323419136,2417851639229258349412352,77371252455336267181195264 %N A013822 a(n) = 2^(5*n + 1). %H A013822 Vincenzo Librandi, <a href="/A013822/b013822.txt">Table of n, a(n) for n = 0..100</a> %H A013822 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>. %H A013822 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (32). %F A013822 From _Philippe Deléham_, Nov 24 2008: (Start) %F A013822 a(n) = 32*a(n-1), n > 0; a(0)=2. %F A013822 G.f.: 2/(1-32*x). %F A013822 a(n) = 2*A009976(n). (End) %F A013822 From _Elmo R. Oliveira_, Feb 18 2025: (Start) %F A013822 E.g.f.: 2*exp(32*x). %F A013822 a(n) = A000079(A016861(n)). (End) %t A013822 2^(5*Range[0,20]+1) (* or *) NestList[32#&,2,20] (* _Harvey P. Dale_, Aug 20 2020 *) %o A013822 (Magma) [2^(5*n+1): n in [0..15]]; // _Vincenzo Librandi_, Jul 07 2011 %o A013822 (PARI) a(n)=2^(5*n+1) \\ _Charles R Greathouse IV_, Jul 11 2016 %Y A013822 Cf. A000079 (2^n), A009976, A016861 (5*n+1). %K A013822 nonn,easy %O A013822 0,1 %A A013822 _N. J. A. Sloane_