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 A022274 #31 Sep 08 2022 08:44:46
%S A022274 0,8,33,75,134,210,303,413,540,684,845,1023,1218,1430,1659,1905,2168,
%T A022274 2448,2745,3059,3390,3738,4103,4485,4884,5300,5733,6183,6650,7134,
%U A022274 7635,8153,8688,9240,9809,10395,10998,11618,12255,12909,13580,14268,14973
%N A022274 a(n) = n*(17*n - 1)/2.
%H A022274 G. C. Greubel, <a href="/A022274/b022274.txt">Table of n, a(n) for n = 0..5000</a>
%H A022274 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A022274 a(n) = 17*n + a(n-1) - 9 for n>0, a(0)=0. - _Vincenzo Librandi_, Aug 04 2010
%F A022274 From _Vincenzo Librandi_, Mar 31 2015: (Start)
%F A022274 G.f.: x*(8 + 9*x)/(1 - x)^3.
%F A022274 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>2. (End)
%F A022274 a(n) = A022275(-n). - _Bruno Berselli_, Mar 31 2015
%F A022274 a(n) = A000217(9*n-1) - A000217(8*n-1). - _Bruno Berselli_, Oct 17 2016
%F A022274 E.g.f.: (x/2)*(17*x + 16)*exp(x). - _G. C. Greubel_, Aug 23 2017
%t A022274 Table[n (17 n - 1)/2, {n, 0, 40}] (* _Bruno Berselli_, Mar 12 2015 *)
%t A022274 CoefficientList[Series[x (8 + 9 x) / (1 - x)^3, {x, 0, 40}], x] (* _Vincenzo Librandi_, Mar 31 2015 *)
%t A022274 LinearRecurrence[{3, -3, 1}, {0, 8,3 3}, 50] (* _Harvey P. Dale_, Feb 18 2016 *)
%o A022274 (Magma) [n*(17*n - 1)/2: n in [0..45]]; // _Vincenzo Librandi_, Mar 31 2015
%o A022274 (PARI) a(n)=n*(17*n-1)/2 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A022274 Cf. A000217, A022275.
%Y A022274 Cf. similar sequences listed in A022288.
%K A022274 nonn,easy
%O A022274 0,2
%A A022274 _N. J. A. Sloane_
%E A022274 More terms from _Vincenzo Librandi_, Mar 31 2015