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 A167747 #49 Jun 29 2023 11:28:28 %S A167747 1,2,12,72,432,2592,15552,93312,559872,3359232,20155392,120932352, %T A167747 725594112,4353564672,26121388032,156728328192,940369969152, %U A167747 5642219814912,33853318889472,203119913336832,1218719480020992,7312316880125952,43873901280755712,263243407684534272 %N A167747 a(n) = phi(6^n). %H A167747 Vincenzo Librandi, <a href="/A167747/b167747.txt">Table of n, a(n) for n = 0..1000</a> %H A167747 D. Bevan, D. Levin, P. Nugent, J. Pantone, L. Pudwell, M. Riehl and M. L. Tlachac, <a href="http://arxiv.org/abs/1510.08036">Pattern avoidance in forests of binary shrubs</a>, arXiv preprint arXiv:1510:08036 [math.CO], 2015-2016. %H A167747 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (6). %F A167747 a(n+1) = 2*6^n. - _Charles R Greathouse IV_, Nov 12 2009 %F A167747 G.f.: (1-4x)/(1-6x). - _Philippe Deléham_, Oct 10 2011 %F A167747 a(n) = ((8*n-4)*a(n-1)-12*(n-2)*a(n-2))/n, a(0)=1, a(1)=2. - _Sergei N. Gladkovskii_, Jul 19 2012 %F A167747 Sum_{n>=0} 1/a(n) = 8/5. - _Amiram Eldar_, Jan 02 2021 %F A167747 a(n) = A000010(A000400(n)). - _Michel Marcus_, Jan 02 2021 %F A167747 From _Amiram Eldar_, May 08 2023: (Start) %F A167747 Sum_{n>=0} (-1)^n/a(n) = 4/7. %F A167747 Product_{n>=1} (1 - 1/a(n)) = A132022. (End) %t A167747 Table[EulerPhi[6^n],{n,0,40}] %o A167747 (PARI) a(n) = eulerphi(6^n); \\ _Michel Marcus_, Jan 02 2021 %Y A167747 Cf. A000010, A000400, A132022. %K A167747 nonn,easy %O A167747 0,2 %A A167747 _Vladimir Joseph Stephan Orlovsky_, Nov 10 2009