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.

A016940 a(n) = (6*n + 2)^8.

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%I A016940 #20 Mar 29 2022 02:52:44
%S A016940 256,16777216,1475789056,25600000000,208827064576,1099511627776,
%T A016940 4347792138496,14048223625216,39062500000000,96717311574016,
%U A016940 218340105584896,457163239653376,899194740203776,1677721600000000,2992179271065856,5132188731375616,8507630225817856
%N A016940 a(n) = (6*n + 2)^8.
%H A016940 Vincenzo Librandi, <a href="/A016940/b016940.txt">Table of n, a(n) for n = 0..2000</a>
%H A016940 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A016940 From _Amiram Eldar_, Mar 29 2022: (Start)
%F A016940 a(n) = A016933(n)^8 = A016934(n)^4 = A016936(n)^2.
%F A016940 a(n) = 2^8*A016784(n).
%F A016940 Sum_{n>=0} 1/a(n) = PolyGamma(7, 1/3)/8465264640. (End)
%t A016940 (6*Range[0,20]+2)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{256,16777216,1475789056,25600000000,208827064576,1099511627776,4347792138496,14048223625216,39062500000000},20] (* _Harvey P. Dale_, Sep 06 2020 *)
%o A016940 (Magma) [(6*n+2)^8: n in [0..20]]; // _Vincenzo Librandi_, May 04 2011
%Y A016940 Cf. A016784, A016933, A016934, A016935, A016936, A016937, A016938, A016939.
%K A016940 nonn,easy
%O A016940 0,1
%A A016940 _N. J. A. Sloane_