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.

A016927 a(n) = (6*n + 1)^7.

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%I A016927 #18 Mar 28 2022 07:40:54
%S A016927 1,823543,62748517,893871739,6103515625,27512614111,94931877133,
%T A016927 271818611107,678223072849,1522435234375,3142742836021,6060711605323,
%U A016927 11047398519097,19203908986159,32057708828125,51676101935731,80798284478113,122987386542487,182803912081669
%N A016927 a(n) = (6*n + 1)^7.
%H A016927 Vincenzo Librandi, <a href="/A016927/b016927.txt">Table of n, a(n) for n = 0..2000</a>
%H A016927 <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 A016927 a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8). - _Harvey P. Dale_, May 12 2015
%F A016927 From _Amiram Eldar_, Mar 28 2022: (Start)
%F A016927 a(n) = A016921(n)^7.
%F A016927 Sum_{n>=0} 1/a(n) = 301*Pi^7/(1049760*sqrt(3)) + 138811*zeta(7)/279936. (End)
%t A016927 (6*Range[0,20]+1)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{1,823543,62748517,893871739,6103515625,27512614111,94931877133,271818611107},20] (* _Harvey P. Dale_, May 12 2015 *)
%o A016927 (Magma) [(6*n+1)^7: n in [0..40]]; // _Vincenzo Librandi_, May 04 2011
%Y A016927 Cf. A016921, A016922, A016923, A016924, A016925, A016926.
%K A016927 nonn,easy
%O A016927 0,2
%A A016927 _N. J. A. Sloane_