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 A034674 #23 Sep 08 2022 08:44:52 %S A034674 8,255,21845,2396745,286331153,35468117025,4467856773185, %T A034674 567382630219905,72340172838076673,9241421688590303745, %U A034674 1181745669222511412225,151189550474521284184065,19347536633519984760328193 %N A034674 Sum of n-th powers of divisors of 128. %H A034674 T. D. Noe, <a href="/A034674/b034674.txt">Table of n, a(n) for n=0..200</a> %H A034674 Quynh Nguyen, Jean Pedersen, and Hien T. Vu, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL19/Pedersen/pedersen2.html">New Integer Sequences Arising From 3-Period Folding Numbers</a>, Vol. 19 (2016), Article 16.3.1. Cites this sequence. %F A034674 a(n) = (2^(8*n) - 1)/(2^n - 1). Exp( Sum_{n >= 1} a(n)*x^n/n ) = 1 + 255*x + 43435*x^2 + ... is the o.g.f. for the 7th subdiagonal of triangle A022166, essentially A022190. - _Peter Bala_, Apr 07 2015 %t A034674 Total[#^Range[0, 20]&/@Divisors[128]] (* _Vincenzo Librandi_, Apr 17 2014 *) %o A034674 (Magma) [DivisorSigma(n, 128): n in [0..20]]; // _Vincenzo Librandi_, Apr 17 2014 %Y A034674 Cf. A022166, A022190. %K A034674 nonn,easy %O A034674 0,1 %A A034674 _N. J. A. Sloane_