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 A164136 #36 Feb 22 2023 01:49:16
%S A164136 0,22,66,132,220,330,462,616,792,990,1210,1452,1716,2002,2310,2640,
%T A164136 2992,3366,3762,4180,4620,5082,5566,6072,6600,7150,7722,8316,8932,
%U A164136 9570,10230,10912,11616,12342,13090,13860,14652,15466,16302,17160,18040,18942,19866,20812
%N A164136 a(n) = 11*n*(n+1).
%H A164136 Vincenzo Librandi, <a href="/A164136/b164136.txt">Table of n, a(n) for n = 0..1000</a>
%H A164136 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A164136 a(n) = 22*A000217(n) = 11*A002378(n).
%F A164136 a(n) = 22*n + a(n-1) with n>0, a(0)=0. - _Vincenzo Librandi_, Nov 30 2010
%F A164136 G.f.: 22*x/(1-x)^3. - _Vincenzo Librandi_, Sep 12 2013
%F A164136 a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). - _Vincenzo Librandi_, Sep 12 2013
%F A164136 E.g.f.: 11*x*(2 + x)*exp(x). - _G. C. Greubel_, Sep 12 2017
%F A164136 From _Amiram Eldar_, Feb 22 2023: (Start)
%F A164136 Sum_{n>=1} 1/a(n) = 1/11.
%F A164136 Sum_{n>=1} (-1)^(n+1)/a(n) = (2*log(2) - 1)/11.
%F A164136 Product_{n>=1} (1 - 1/a(n)) = -(11/Pi)*cos(sqrt(15/11)*Pi/2).
%F A164136 Product_{n>=1} (1 + 1/a(n)) = (11/Pi)*cos(sqrt(7/11)*Pi/2). (End)
%t A164136 CoefficientList[Series[(22 x) / (1 - x)^3, {x, 0, 40}], x] (* _Vincenzo Librandi_, Sep 12 2013 *)
%o A164136 (Magma) [11*n*(n+1): n in [0..40]]; // _Vincenzo Librandi_, Sep 12 2013
%o A164136 (PARI) a(n)=11*n*(n+1) \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A164136 Cf. A000217, A002378.
%K A164136 nonn,easy
%O A164136 0,2
%A A164136 _Vincenzo Librandi_, Aug 11 2009
%E A164136 Offset corrected by _R. J. Mathar_, Aug 21 2009