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.

A016974 a(n) = (6*n + 5)^6.

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%I A016974 #18 Apr 24 2025 12:03:17
%S A016974 15625,1771561,24137569,148035889,594823321,1838265625,4750104241,
%T A016974 10779215329,22164361129,42180533641,75418890625,128100283921,
%U A016974 208422380089,326940373369,496981290961,735091890625,1061520150601,1500730351849,2081951752609,2839760855281,3814697265625
%N A016974 a(n) = (6*n + 5)^6.
%H A016974 Vincenzo Librandi, <a href="/A016974/b016974.txt">Table of n, a(n) for n = 0..1000</a>
%H A016974 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A016974 From _Amiram Eldar_, Apr 01 2022: (Start)
%F A016974 a(n) = A016969(n)^6 = A016970(n)^3 = A016971(n)^2.
%F A016974 Sum_{n>=0} 1/a(n) = PolyGamma(5, 5/6)/5598720. (End)
%t A016974 (6Range[0,20]+5)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{15625,1771561,24137569,148035889,594823321,1838265625,4750104241},30] (* _Harvey P. Dale_, Apr 24 2025 *)
%o A016974 (Magma) [(6*n+5)^6: n in [0..25]]; // _Vincenzo Librandi_, May 10 2011
%Y A016974 Cf. A016969 (6*n +5), A016970, A016971, A016972, A016973.
%Y A016974 Subsequence of A001014 (n^6).
%K A016974 nonn,easy
%O A016974 0,1
%A A016974 _N. J. A. Sloane_