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.

A017019 a(n) = (7*n + 3)^3.

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%I A017019 #15 Oct 17 2023 17:57:21
%S A017019 27,1000,4913,13824,29791,54872,91125,140608,205379,287496,389017,
%T A017019 512000,658503,830584,1030301,1259712,1520875,1815848,2146689,2515456,
%U A017019 2924207,3375000,3869893,4410944,5000211
%N A017019 a(n) = (7*n + 3)^3.
%H A017019 Vincenzo Librandi, <a href="/A017019/b017019.txt">Table of n, a(n) for n = 0..10000</a>
%H A017019 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A017019 From _G. C. Greubel_, Oct 17 2023: (Start)
%F A017019 G.f.: (27 + 892*x + 1075*x^2 + 64*x^3)/(1 - x)^4.
%F A017019 E.g.f.: (27 + 973*x + 1470*x^2 + 343*x^3)*exp(x). (End)
%t A017019 (7*Range[0, 40] +3)^3 (* _G. C. Greubel_, Oct 17 2023 *)
%o A017019 (Magma) [(7*n+3)^3: n in [0..35]]; // _Vincenzo Librandi_, Jul 14 2011
%o A017019 (SageMath) [(7*n+3)^3 for n in range(41)] # _G. C. Greubel_, Oct 17 2023
%Y A017019 Cf. A017017, A017018, A017020 - A017028.
%K A017019 nonn,easy
%O A017019 0,1
%A A017019 _N. J. A. Sloane_