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 A282851 #23 Feb 10 2023 09:10:20 %S A282851 0,1,35,102,202,335,501,700,932,1197,1495,1826,2190,2587,3017,3480, %T A282851 3976,4505,5067,5662,6290,6951,7645,8372,9132,9925,10751,11610,12502, %U A282851 13427,14385,15376,16400,17457,18547,19670,20826,22015,23237,24492 %N A282851 35-gonal numbers: a(n) = n*(33*n-31)/2. %H A282851 <a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a> %H A282851 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1). %F A282851 From _Nikolaos Pantelidis_, Feb 10 2023: (Start) %F A282851 G.f.: x*(1 + 32*x)/(1 - x)^3. %F A282851 E.g.f.: exp(x)*(x + 33*x^2/2). (End) %t A282851 Table[n(33n-31)/2, {n, 50}] %t A282851 PolygonalNumber[35,Range[0,40]] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Nov 12 2017 *) %o A282851 (PARI) for(n=0,100,print1(n*(33*n-31)/2,", ")) \\ _Derek Orr_, Feb 27 2017 %Y A282851 Cf. A255187, A254474, A261191. %K A282851 nonn,easy %O A282851 0,3 %A A282851 _Kyu Bin Choi_, Feb 23 2017