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.

A016841 a(n) = (4n+3)^5.

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%I A016841 #14 Apr 24 2023 02:54:08
%S A016841 243,16807,161051,759375,2476099,6436343,14348907,28629151,52521875,
%T A016841 90224199,147008443,229345007,345025251,503284375,714924299,992436543,
%U A016841 1350125107,1804229351,2373046875,3077056399,3939040643,4984209207,6240321451,7737809375,9509900499,11592740743
%N A016841 a(n) = (4n+3)^5.
%H A016841 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A016841 a(0)=243, a(1)=16807, a(2)=161051, a(3)=759375, a(4)=2476099, a(5)=6436343, a(n)=6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - _Harvey P. Dale_, Aug 11 2014
%F A016841 From _Amiram Eldar_, Apr 24 2023: (Start)
%F A016841 a(n) = A004767(n)^5.
%F A016841 Sum_{n>=0} 1/a(n) = 31*zeta(5)/64 - 5*Pi^5/3072. (End)
%t A016841 (4*Range[0,30]+3)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{243,16807,161051,759375,2476099,6436343},30] (* _Harvey P. Dale_, Aug 11 2014 *)
%Y A016841 Cf. A004767, A013663.
%K A016841 nonn,easy
%O A016841 0,1
%A A016841 _N. J. A. Sloane_