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A127369 (n^3+n)*4^n. 1

%I #16 Sep 08 2022 08:45:29

%S 8,160,1920,17408,133120,909312,5734400,34078720,193462272,1059061760,

%T 5628755968,29192355840,148310589440,740344987648,3639984783360,

%U 17660905521152,84696755077120,402008938905600,1890610243960832

%N (n^3+n)*4^n.

%H Vincenzo Librandi, <a href="/A127369/b127369.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (16,-96,256,-256).

%F G.f.: 8*x*(1+4*x+16*x^2)/(1-4*x)^4. [_R. J. Mathar_, Dec 19 2008]

%t Table[(n^3 + n) 4^n, {n, 20}] (* _Vincenzo Librandi_ Feb 22 2013 *)

%t LinearRecurrence[{16,-96,256,-256},{8,160,1920,17408},20] (* _Harvey P. Dale_, Aug 14 2021 *)

%o (Magma) [(n^3 + n) * 4^n: n in [1..20]]; // _Vincenzo Librandi_, Feb 22 2013

%Y Cf. A128796, A128960, A128985, A129002.

%K nonn,easy

%O 1,1

%A _Mohammad K. Azarian_, May 02 2007

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Last modified September 19 06:28 EDT 2024. Contains 376004 sequences. (Running on oeis4.)