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 A022275 #33 Sep 08 2022 08:44:46 %S A022275 0,9,35,78,138,215,309,420,548,693,855,1034,1230,1443,1673,1920,2184, %T A022275 2465,2763,3078,3410,3759,4125,4508,4908,5325,5759,6210,6678,7163, %U A022275 7665,8184,8720,9273,9843,10430,11034,11655,12293,12948,13620,14309,15015 %N A022275 a(n) = n*(17*n + 1)/2. %H A022275 G. C. Greubel, <a href="/A022275/b022275.txt">Table of n, a(n) for n = 0..5000</a> %H A022275 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1). %F A022275 a(n) = 17*n + a(n-1) - 8 for n>0, a(0)=0. - _Vincenzo Librandi_, Aug 04 2010 %F A022275 a(0)=0, a(1)=9, a(2)=35; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - _Harvey P. Dale_, May 06 2013 %F A022275 G.f.: x*(9+8*x)/(1-x)^3. - _Vincenzo Librandi_, Mar 31 2015 %F A022275 a(n) = A022274(-n). - _Bruno Berselli_, Mar 31 2015 %F A022275 a(n) = A000217(9*n) - A000217(8*n). - _Bruno Berselli_, Oct 13 2016 %F A022275 E.g.f.: (x/2)*(17*x + 18)*exp(x). - _G. C. Greubel_, Aug 23 2017 %t A022275 Table[n (17 n + 1)/2, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 9, 35}, 40] (* _Harvey P. Dale_, May 06 2013 *) %t A022275 CoefficientList[Series[x (9 + 8 x) / (1 - x)^3, {x, 0, 40}], x] (* _Vincenzo Librandi_, Mar 31 2015 *) %o A022275 (Magma) [n*(17*n + 1)/2: n in [0..45]]; // _Vincenzo Librandi_, Mar 31 2015 %o A022275 (PARI) a(n)=n*(17*n+1)/2 \\ _Charles R Greathouse IV_, Jun 17 2017 %Y A022275 Cf. A022274. %Y A022275 Cf. similar sequences listed in A022289. %K A022275 nonn,easy %O A022275 0,2 %A A022275 _N. J. A. Sloane_ %E A022275 More terms from _Vincenzo Librandi_, Mar 31 2015