cp's OEIS Frontend

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.

A282850 38-gonal numbers: a(n) = n*(18*n-17).

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%I A282850 #24 Feb 10 2023 04:37:10
%S A282850 0,1,38,111,220,365,546,763,1016,1305,1630,1991,2388,2821,3290,3795,
%T A282850 4336,4913,5526,6175,6860,7581,8338,9131,9960,10825,11726,12663,13636,
%U A282850 14645,15690,16771,17888,19041,20230,21455,22716,24013,25346,26715,28120,29561
%N A282850 38-gonal numbers: a(n) = n*(18*n-17).
%H A282850 <a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a>
%H A282850 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A282850 G.f.: -x*(35*x+1)/(x-1)^3.
%F A282850 E.g.f.: exp(x)*(x + 18*x^2). - _Nikolaos Pantelidis_, Feb 10 2023
%t A282850 Table[n(36n-34)/2, {n,50}]
%t A282850 LinearRecurrence[{3, -3, 1}, {0, 1, 38}, 42] (* or *) CoefficientList[Series[-x * (35 * x + 1) / (x - 1) ^ 3, {x, 0, 41}], x] (* _Indranil Ghosh_, Feb 27 2017 *)
%o A282850 (PARI) for(n=0,20,print1(n*(18*n-17),", ")) \\ _Derek Orr_, Feb 26 2017
%o A282850 (PARI) a(n)=n*(18*n-17) \\ _Charles R Greathouse IV_, Feb 26 2017
%Y A282850 Cf. A255187, A254474, A261191.
%K A282850 nonn,easy
%O A282850 0,3
%A A282850 _Haney Moon_, Feb 23 2017