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.

A128048 (n^3+n)*8^n.

This page as a plain text file.
%I A128048 #23 Sep 08 2022 08:45:30
%S A128048 16,640,15360,278528,4259840,58195968,734003200,8724152320,
%T A128048 99052683264,1084479242240,11527692222464,119571889520640,
%U A128048 1214960348692480,12129812277624832,119275021381140480,1157425104234217472
%N A128048 (n^3+n)*8^n.
%H A128048 Vincenzo Librandi, <a href="/A128048/b128048.txt">Table of n, a(n) for n = 1..1000</a>
%H A128048 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (32,-384,2048,-4096).
%F A128048 G.f.: 16*x*(1+8*x+64*x^2)/(1-8*x)^4. - _Vincenzo Librandi_, Feb 22 2013
%F A128048 a(n) = 32*a(n-1) -384*a(n-2) +2048*a(n-3) -4096*a(n-4). - _Vincenzo Librandi_, Feb 23 2013
%t A128048 Table[(n^3 + n) 8^n, {n, 30}] (* or *) CoefficientList[Series[16 (1 + 8 x + 64 x^2)/(1 - 8 x)^4, {x, 0, 20}],x] (* _Vincenzo Librandi_, Feb 22 2013 *)
%o A128048 (Magma) [(n^3 + n)*8^n: n in [1..20]]; // _Vincenzo Librandi_, Feb 22 2013
%o A128048 (Magma) I:=[16,640,15360,278528]; [n le 4 select I[n] else 32*Self(n-1)-384*Self(n-2)+2048*Self(n-3)-4096*Self(n-4): n in [1..20]]; // _Vincenzo Librandi_, Feb 23 2013
%Y A128048 Cf. A128796, A128960, A128985, A129002.
%K A128048 nonn,easy
%O A128048 1,1
%A A128048 _Mohammad K. Azarian_, May 02 2007