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 A282853 #23 Apr 18 2025 19:13:00
%S A282853 0,1,36,105,208,345,516,721,960,1233,1540,1881,2256,2665,3108,3585,
%T A282853 4096,4641,5220,5833,6480,7161,7876,8625,9408,10225,11076,11961,12880,
%U A282853 13833,14820,15841,16896,17985,19108,20265,21456,22681,23940,25233
%N A282853 36-gonal numbers: a(n) = n*(17*n-16).
%H A282853 Harvey P. Dale, <a href="/A282853/b282853.txt">Table of n, a(n) for n = 0..1000</a>
%H A282853 <a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a>
%H A282853 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A282853 From _Nikolaos Pantelidis_, Feb 09 2023 : (Start)
%F A282853 G.f.: x*(1 + 33*x)/(1 - x)^3.
%F A282853 E.g.f.: exp(x)*(x + 17*x^2). (End)
%t A282853 Table[n(34n-32)/2, {n,50}]
%t A282853 PolygonalNumber[36,Range[0,50]] (* or *) LinearRecurrence[{3,-3,1},{0,1,36},50] (* _Harvey P. Dale_, Apr 18 2025 *)
%o A282853 (PARI) for(n=0,100,print1(n*(17*n-16),", ")) \\ _Derek Orr_, Feb 27 2017
%Y A282853 Cf. A254474, A261191, A001107.
%K A282853 nonn,easy
%O A282853 0,3
%A A282853 _So Jung Kim_, Feb 23 2017