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.

A016934 a(n) = (6*n + 2)^2.

This page as a plain text file.
%I A016934 #34 Feb 21 2025 16:45:29
%S A016934 4,64,196,400,676,1024,1444,1936,2500,3136,3844,4624,5476,6400,7396,
%T A016934 8464,9604,10816,12100,13456,14884,16384,17956,19600,21316,23104,
%U A016934 24964,26896,28900,30976,33124,35344,37636,40000,42436,44944,47524,50176,52900,55696,58564
%N A016934 a(n) = (6*n + 2)^2.
%H A016934 Vincenzo Librandi, <a href="/A016934/b016934.txt">Table of n, a(n) for n = 0..2000</a>
%H A016934 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A016934 Sum_{n>=0} 1/a(n) = A086728. - _Amiram Eldar_, Nov 16 2020
%F A016934 From _Stefano Spezia_, Feb 21 2025: (Start)
%F A016934 G.f.: 4*(1 + 13*x + 4*x^2)/(1 - x)^3.
%F A016934 E.g.f.: 4*exp(x)*(1 + 15*x + 9*x^2). (End)
%t A016934 (6*Range[0,40]+2)^2 (* or *) LinearRecurrence[{3,-3,1},{4,64,196},40] (* _Harvey P. Dale_, Nov 22 2013 *)
%o A016934 (Magma) [(6*n+2)^2: n in [0..50]]; // _Vincenzo Librandi_, May 04 2011
%o A016934 (PARI) a(n)=(6*n+2)^2 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A016934 Cf. A016922, A016933, A086728.
%K A016934 nonn,easy
%O A016934 0,1
%A A016934 _N. J. A. Sloane_