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.

A244634 a(n) = 27*n^2.

This page as a plain text file.
%I A244634 #18 Dec 01 2024 17:52:00
%S A244634 0,27,108,243,432,675,972,1323,1728,2187,2700,3267,3888,4563,5292,
%T A244634 6075,6912,7803,8748,9747,10800,11907,13068,14283,15552,16875,18252,
%U A244634 19683,21168,22707,24300,25947,27648,29403,31212,33075,34992,36963,38988,41067,43200,45387
%N A244634 a(n) = 27*n^2.
%H A244634 Vincenzo Librandi, <a href="/A244634/b244634.txt">Table of n, a(n) for n = 0..1000</a>
%H A244634 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A244634 G.f.: 27*x*(1 + x)/(1 - x)^3. [corrected by _Bruno Berselli_, Jul 03 2014]
%F A244634 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.
%F A244634 a(n) = 27*A000290(n) = 9*A033428(n) = 3*A016766(n). - _Omar E. Pol_, Jul 03 2014
%F A244634 From _Elmo R. Oliveira_, Dec 01 2024: (Start)
%F A244634 E.g.f.: 27*x*(1 + x)*exp(x).
%F A244634 a(n) = n*A305548(n). (End)
%t A244634 Table[27 n^2, {n, 0, 40}]
%o A244634 (Magma) [27*n^2: n in [0..40]];
%o A244634 (PARI) a(n)=27*n^2 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A244634 Cf. similar sequences listed in A244630.
%Y A244634 Cf. A000290, A016766, A033428, A305548.
%K A244634 nonn,easy
%O A244634 0,2
%A A244634 _Vincenzo Librandi_, Jul 03 2014