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 A013734 #41 Jul 08 2025 02:50:52 %S A013734 4,256,16384,1048576,67108864,4294967296,274877906944,17592186044416, %T A013734 1125899906842624,72057594037927936,4611686018427387904, %U A013734 295147905179352825856,18889465931478580854784,1208925819614629174706176 %N A013734 a(n) = 4^(3*n+1). %C A013734 Additive digital root of a(n) = 4. - _Miquel Cerda_, Jul 02 2016 %H A013734 Vincenzo Librandi, <a href="/A013734/b013734.txt">Table of n, a(n) for n = 0..160</a> %H A013734 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a> %H A013734 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (64). %F A013734 a(n) = 64*a(n-1), n>0 ; a(0)=4. G.f.: 4/(1-64*x). a(n)=4*A089357(n). - _Philippe Deléham_, Nov 24 2008 %F A013734 E.g.f.: 4*exp(64*x). - _Ilya Gutkovskiy_, Jul 02 2016 %p A013734 seq(4^(3*n+1),n=0..13); # _Nathaniel Johnston_, Jun 26 2011 %t A013734 4^(3*Range[0,20]+1) (* or *) NestList[64#&,4,20] (* _Harvey P. Dale_, Feb 22 2016 *) %o A013734 (Magma) [4^(3*n+1): n in [0..20]]; // _Vincenzo Librandi_, May 25 2011 %o A013734 (PARI) Vec(4/(1-64*x) + O(x^99)) \\ _Altug Alkan_, Jul 05 2016 %o A013734 (PARI) a(n)=2^(6*n+2) \\ _Charles R Greathouse IV_, Jul 11 2016 %Y A013734 Cf. A013735. %K A013734 nonn,easy %O A013734 0,1 %A A013734 _N. J. A. Sloane_