A062075 a(n) = n^4 * 4^n.
0, 4, 256, 5184, 65536, 640000, 5308416, 39337984, 268435456, 1719926784, 10485760000, 61408804864, 347892350976, 1916696264704, 10312216477696, 54358179840000, 281474976710656, 1434879854116864, 7213895789838336, 35822363710849024, 175921860444160000, 855336483526017024
Offset: 0
Links
- Harry J. Smith, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (20,-160,640,-1280,1024).
Programs
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Maple
A062075:=n->n^4*4^n: seq(A062075(n), n=0..30); # Wesley Ivan Hurt, Apr 09 2017
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Mathematica
f[n_]:=n^4*4^n; f[Range[0,40]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011 *)
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PARI
a(n) = (n^4)*(4^n)
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SageMath
[4^n*n^4 for n in (0..30)] # G. C. Greubel, May 10 2022
Formula
G.f.: 4*x*(1+4*x)*(1+40*x+16*x^2) / (1-4*x)^5. - Colin Barker, Apr 30 2013
E.g.f.: 4*x*(1 + 28*x + 96*x^2 + 64*x^3)*exp(4*x). - G. C. Greubel, May 10 2022