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 A017118 #19 Apr 25 2023 03:26:10 %S A017118 4096,2985984,64000000,481890304,2176782336,7256313856,19770609664, %T A017118 46656000000,98867482624,192699928576,351298031616,606355001344, %U A017118 1000000000000,1586874322944,2436396322816,3635215077376,5289852801024,7529536000000,10509215371264,14412774445056 %N A017118 a(n) = (8*n + 4)^6. %H A017118 Vincenzo Librandi, <a href="/A017118/b017118.txt">Table of n, a(n) for n = 0..10000</a> %H A017118 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A017118 G.f.: -4096*(1 + 722*x + 10543*x^2 + 23548*x^3 + 10543*x^4 + 722*x^5 + x^6)/(x-1)^7. - _R. J. Mathar_, May 08 2015 %F A017118 From _Amiram Eldar_, Apr 25 2023: (Start) %F A017118 a(n) = A017113(n)^6. %F A017118 a(n) = 2^6*A016830(n) = 2^12*A016758(n). %F A017118 Sum_{n>=0} 1/a(n) = Pi^6/3932160. (End) %t A017118 (8*Range[0,30]+4)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{4096,2985984,64000000,481890304,2176782336,7256313856,19770609664},30] (* _Harvey P. Dale_, Jan 07 2016 *) %o A017118 (Magma) [(8*n+4)^6: n in [0..20] ]; // _Vincenzo Librandi_, Jul 21 2011 %Y A017118 Cf. A016758, A016830, A017113. %K A017118 nonn,easy %O A017118 0,1 %A A017118 _N. J. A. Sloane_