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.
%I A062075 #31 Dec 29 2024 14:27:14 %S A062075 0,4,256,5184,65536,640000,5308416,39337984,268435456,1719926784, %T A062075 10485760000,61408804864,347892350976,1916696264704,10312216477696, %U A062075 54358179840000,281474976710656,1434879854116864,7213895789838336,35822363710849024,175921860444160000,855336483526017024 %N A062075 a(n) = n^4 * 4^n. %H A062075 Harry J. Smith, <a href="/A062075/b062075.txt">Table of n, a(n) for n = 0..200</a> %H A062075 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (20,-160,640,-1280,1024). %F A062075 G.f.: 4*x*(1+4*x)*(1+40*x+16*x^2) / (1-4*x)^5. - _Colin Barker_, Apr 30 2013 %F A062075 E.g.f.: 4*x*(1 + 28*x + 96*x^2 + 64*x^3)*exp(4*x). - _G. C. Greubel_, May 10 2022 %p A062075 A062075:=n->n^4*4^n: seq(A062075(n), n=0..30); # _Wesley Ivan Hurt_, Apr 09 2017 %t A062075 f[n_]:=n^4*4^n; f[Range[0,40]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 14 2011 *) %o A062075 (PARI) a(n) = (n^4)*(4^n) %o A062075 (SageMath) [4^n*n^4 for n in (0..30)] # _G. C. Greubel_, May 10 2022 %Y A062075 Cf. A000302, A000583, A062074. %K A062075 nonn,easy %O A062075 0,2 %A A062075 _Jason Earls_, Jun 27 2001