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.

A017022 a(n) = (7*n + 3)^6.

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%I A017022 #15 Oct 17 2023 18:26:08
%S A017022 729,1000000,24137569,191102976,887503681,3010936384,8303765625,
%T A017022 19770609664,42180533641,82653950016,151334226289,262144000000,
%U A017022 433626201009,689869781056,1061520150601,1586874322944
%N A017022 a(n) = (7*n + 3)^6.
%H A017022 Vincenzo Librandi, <a href="/A017022/b017022.txt">Table of n, a(n) for n = 0..10000</a>
%H A017022 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A017022 From _G. C. Greubel_, Oct 17 2023: (Start)
%F A017022 G.f.: (729 + 994897*x + 17152878*x^2 + 43114478*x^3 + 21697313*x^4 + 1742889*x^5 + 4096*x^6)/(1-x)^7.
%F A017022 E.g.f.: (729 + 999271*x + 11069149*x^2 + 20281590*x^3 + 10996580*x^4 + 2067261*x^5 + 117649*x^6)*exp(x). (End)
%t A017022 (7*Range[0,40] +3)^6 (* _G. C. Greubel_, Oct 17 2023 *)
%o A017022 (Magma) [(7*n+3)^6: n in [0..35]]; // _Vincenzo Librandi_, Jul 14 2011
%o A017022 (SageMath) [(7*n+3)^6 for n in range(41)] # _G. C. Greubel_, Oct 17 2023
%Y A017022 Cf. A017017 - A017021, A017023 - A017028.
%K A017022 nonn,easy
%O A017022 0,1
%A A017022 _N. J. A. Sloane_