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 A128965 #28 Oct 02 2022 10:32:48 %S A128965 0,294,8232,144060,2016840,24706290,276710448,2905459704,29054597040, %T A128965 279650496510,2610071300760,23751648836916,211605598728888, %U A128965 1851548988877770,15951806673408480,135590356723972080,1138958996481365472,9467596658251350486,77968443067952298120 %N A128965 a(n) = (n^3 - n)*7^n. %H A128965 Vincenzo Librandi, <a href="/A128965/b128965.txt">Table of n, a(n) for n = 1..1000</a> %H A128965 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (28,-294,1372,-2401). %F A128965 From _R. J. Mathar_, Dec 19 2008: (Start) %F A128965 G.f.: 294x^2/(1-7x)^4. %F A128965 a(n) = 294*A140107(n-2). (End) %F A128965 a(n) = 28*a(n-1) - 294*a(n-2) + 1372*a(n-3) - 2401*a(n-4). - _Vincenzo Librandi_, Feb 11 2013 %F A128965 From _Amiram Eldar_, Oct 02 2022: (Start) %F A128965 a(n) = A007531(n+1)*A000420(n). %F A128965 Sum_{n>=2} 1/a(n) = (18/7)*log(7/6) - 11/28. %F A128965 Sum_{n>=2} (-1)^n/a(n) = (32/7)*log(8/7) - 17/28. (End) %t A128965 LinearRecurrence[{28, -294, 1372, -2401}, {0, 294, 8232, 144060}, 30] (* _Vincenzo Librandi_, Feb 11 2013 *) %t A128965 Table[(n^3-n)7^n,{n,20}] (* _Harvey P. Dale_, May 14 2020 *) %o A128965 (Magma) [(n^3 - n)*7^n: n in [1..25]]; // _Vincenzo Librandi_, Feb 11 2013 %Y A128965 Cf. A000420, A007531, A036289, A128796, A140107. %Y A128965 Cf. A128960, A128961, A128962, A128963, A128964, A128967, A128969. %K A128965 nonn,easy %O A128965 1,2 %A A128965 _Mohammad K. Azarian_, Apr 28 2007 %E A128965 Offset corrected by _Mohammad K. Azarian_, Nov 20 2008