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.

A016926 a(n) = (6*n + 1)^6.

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%I A016926 #18 Mar 28 2022 07:41:01
%S A016926 1,117649,4826809,47045881,244140625,887503681,2565726409,6321363049,
%T A016926 13841287201,27680640625,51520374361,90458382169,151334226289,
%U A016926 243087455521,377149515625,567869252041,832972004929,1194052296529,1677100110841,2313060765625,3138428376721
%N A016926 a(n) = (6*n + 1)^6.
%H A016926 Vincenzo Librandi, <a href="/A016926/b016926.txt">Table of n, a(n) for n = 0..2000</a>
%H A016926 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A016926 From _Amiram Eldar_, Mar 28 2022: (Start)
%F A016926 a(n) = A016921(n)^6 = A016922(n)^3 = A016923(n)^2.
%F A016926 Sum_{n>=0} 1/a(n) = PolyGamma(5, 1/6)/5598720. (End)
%t A016926 (6*Range[0,20]+1)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{1,117649,4826809,47045881,244140625,887503681,2565726409},20] (* _Harvey P. Dale_, Aug 19 2019 *)
%o A016926 (Magma) [(6*n+1)^6: n in [0..40]]; // _Vincenzo Librandi_, May 04 2011
%Y A016926 Cf. A016921, A016922, A016923, A016924, A016925.
%K A016926 nonn,easy
%O A016926 0,2
%A A016926 _N. J. A. Sloane_