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.

A016747 a(n) = (2*n)^7.

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%I A016747 #34 Sep 08 2022 08:44:41
%S A016747 0,128,16384,279936,2097152,10000000,35831808,105413504,268435456,
%T A016747 612220032,1280000000,2494357888,4586471424,8031810176,13492928512,
%U A016747 21870000000,34359738368,52523350144,78364164096,114415582592,163840000000,230539333248,319277809664,435817657216
%N A016747 a(n) = (2*n)^7.
%H A016747 Vincenzo Librandi, <a href="/A016747/b016747.txt">Table of n, a(n) for n = 0..10000</a>
%H A016747 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A016747 O.g.f.: 128*x*(1 + 120*x + 1191*x^2 + 2416*x^3 + 1191*x^4 + 120*x^5 + x^6)/(1-x)^8. - _R. J. Mathar_, May 07 2008
%F A016747 From _Amiram Eldar_, Oct 10 2020: (Start)
%F A016747 Sum_{n>=1} 1/a(n) = zeta(7)/128.
%F A016747 Sum_{n>=1} (-1)^(n+1)/a(n) = 63*zeta(7)/8192. (End)
%p A016747 A016747:=n->(2*n)^7: seq(A016747(n), n=0..40); # _Wesley Ivan Hurt_, Sep 15 2018
%t A016747 (2*Range[0,20])^7  (* _Harvey P. Dale_, Jan 17 2011 *)
%o A016747 (Magma) [(2*n)^7: n in [0..30]]; // _Vincenzo Librandi_, Sep 05 2011
%o A016747 (PARI) vector(30, n, n--; (2*n)^7) \\ _G. C. Greubel_, Sep 15 2018
%Y A016747 Cf. A016759.
%K A016747 nonn,easy
%O A016747 0,2
%A A016747 _N. J. A. Sloane_