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.

A244631 a(n) = 19*n^2.

This page as a plain text file.
%I A244631 #24 Dec 01 2024 20:15:47
%S A244631 0,19,76,171,304,475,684,931,1216,1539,1900,2299,2736,3211,3724,4275,
%T A244631 4864,5491,6156,6859,7600,8379,9196,10051,10944,11875,12844,13851,
%U A244631 14896,15979,17100,18259,19456,20691,21964,23275,24624,26011,27436,28899,30400,31939,33516
%N A244631 a(n) = 19*n^2.
%C A244631 First bisection of A195048. - _Bruno Berselli_, Jul 03 2014
%H A244631 Vincenzo Librandi, <a href="/A244631/b244631.txt">Table of n, a(n) for n = 0..1000</a>
%H A244631 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A244631 G.f.: 19*x*(1 + x)/(1 - x)^3. [corrected by _Bruno Berselli_, Jul 03 2014]
%F A244631 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.
%F A244631 a(n) = 19*A000290(n). - _Omar E. Pol_, Jul 03 2014
%F A244631 From _Elmo R. Oliveira_, Dec 01 2024: (Start)
%F A244631 E.g.f.: 19*x*(1 + x)*exp(x).
%F A244631 a(n) = n*A008601(n) = A195048(2*n). (End)
%t A244631 Table[19 n^2, {n, 0, 40}]
%o A244631 (Magma) [19*n^2: n in [0..40]];
%o A244631 (PARI) a(n)=19*n^2 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A244631 Cf. A000290, A008601, A195048.
%Y A244631 Cf. similar sequences listed in A244630.
%K A244631 nonn,easy
%O A244631 0,2
%A A244631 _Vincenzo Librandi_, Jul 03 2014