%I #16 Feb 10 2023 04:38:50
%S 0,1,36,105,208,345,516,721,960,1233,1540,1881,2256,2665,3108,3585,
%T 4096,4641,5220,5833,6480,7161,7876,8625,9408,10225,11076,11961,12880,
%U 13833,14820,15841,16896,17985,19108,20265,21456,22681,23940,25233
%N 36-gonal numbers: a(n) = n*(17*n-16).
%H <a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F From _Nikolaos Pantelidis_, Feb 09 2023 : (Start)
%F G.f.: x*(1 + 33*x)/(1 - x)^3.
%F E.g.f.: exp(x)*(x + 17*x^2). (End)
%t Table[n(34n-32)/2, {n,50}]
%o (PARI) for(n=0,100,print1(n*(17*n-16),", ")) \\ _Derek Orr_, Feb 27 2017
%Y Cf. A254474, A261191, A001107.
%K nonn,easy
%O 0,3
%A _So Jung Kim_, Feb 23 2017