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A062075
a(n) = n^4 * 4^n.
9
0, 4, 256, 5184, 65536, 640000, 5308416, 39337984, 268435456, 1719926784, 10485760000, 61408804864, 347892350976, 1916696264704, 10312216477696, 54358179840000, 281474976710656, 1434879854116864, 7213895789838336
OFFSET
0,2
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
MAPLE
A062075:=n->n^4*4^n: seq(A062075(n), n=0..30); # Wesley Ivan Hurt, Apr 09 2017
MATHEMATICA
f[n_]:=n^4*4^n; f[Range[0, 40]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011 *)
PROG
(PARI) for(n=0, 22, print((n^4)*(4^n)))
(PARI) { for (n=0, 200, write("b062075.txt", n, " ", n^4 * 4^n) ) } \\ Harry J. Smith, Jul 31 2009
(SageMath) [4^n*n^4 for n in (0..30)] # G. C. Greubel, May 10 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jason Earls, Jun 27 2001
STATUS
approved