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.

A016746 a(n) = (2*n)^6.

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%I A016746 #26 Sep 08 2022 08:44:41
%S A016746 0,64,4096,46656,262144,1000000,2985984,7529536,16777216,34012224,
%T A016746 64000000,113379904,191102976,308915776,481890304,729000000,
%U A016746 1073741824,1544804416,2176782336,3010936384,4096000000,5489031744,7256313856,9474296896,12230590464,15625000000
%N A016746 a(n) = (2*n)^6.
%H A016746 Vincenzo Librandi, <a href="/A016746/b016746.txt">Table of n, a(n) for n = 0..10000</a>
%H A016746 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A016746 G.f.: 64*x*(1+x)*(x^4 + 56*x^3 + 246*x^2 + 56*x + 1) / (1-x)^7. - _R. J. Mathar_, May 01 2015
%F A016746 E.g.f.: 64*x*(1 + 31*x + 90*x^2 + 65*x^3 + 15*x^4 + x^5)*exp(x). - _G. C. Greubel_, Sep 15 2018
%F A016746 From _Amiram Eldar_, Oct 10 2020: (Start)
%F A016746 Sum_{n>=1} 1/a(n) = Pi^6/60480.
%F A016746 Sum_{n>=1} (-1)^(n+1)/a(n) = 31*Pi^6/1935360. (End)
%p A016746 A016746:=n->(2*n)^6: seq(A016746(n), n=0..50); # _Wesley Ivan Hurt_, Sep 15 2018
%t A016746 Table[(2*n)^6, {n,0,30}] (* _G. C. Greubel_, Sep 15 2018 *)
%o A016746 (Magma) [(2*n)^6: n in [0..30]]; // _Vincenzo Librandi_, Sep 05 2011
%o A016746 (PARI) vector(30, n, n--; (2*n)^6) \\ _G. C. Greubel_, Sep 15 2018
%Y A016746 Cf. A016758.
%K A016746 nonn,easy
%O A016746 0,2
%A A016746 _N. J. A. Sloane_