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 A054611 #24 Apr 16 2021 15:41:28 %S A054611 0,4,20,72,280,1040,4200,16408,65840,262296,1049680,4194344,16782000, %T A054611 67108912,268451960,1073744160,4295033440,17179869248,68719747320, %U A054611 274877907016,1099512679520,4398046544304,17592190238920,70368744177752 %N A054611 a(n) = Sum_{d|n} phi(d)*4^(n/d). %H A054611 Seiichi Manyama, <a href="/A054611/b054611.txt">Table of n, a(n) for n = 0..1660</a> %H A054611 T. Pisanski, D. Schattschneider and B. Servatius, <a href="http://www.jstor.org/stable/27642932">Applying Burnside's lemma to a one-dimensional Escher problem</a>, Math. Mag., 79 (2006), 167-180. See V(n). %F A054611 a(n) = n * A001868(n). %F A054611 a(n) = Sum_{k=1..n} 4^gcd(n,k). - _Ilya Gutkovskiy_, Apr 16 2021 %p A054611 A054611:=proc(n) local k, t1; t1:=0; for k in divisors(n) do t1 := t1+phi(k)*4^(n/k); od: t1; end; %o A054611 (PARI) a(n) = if(n==0, 0, sumdiv(n, d, eulerphi(d)*4^(n/d))); \\ _Michel Marcus_, Sep 19 2017 %Y A054611 Column k=4 of A185651. %Y A054611 Row n=4 of A054619. %Y A054611 Cf. A001868. %K A054611 nonn %O A054611 0,2 %A A054611 _N. J. A. Sloane_, Apr 16 2000