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.

A017429 a(n) = (11*n+3)^5.

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%I A017429 #24 Sep 08 2022 08:44:42
%S A017429 243,537824,9765625,60466176,229345007,656356768,1564031349,
%T A017429 3276800000,6240321451,11040808032,18424351793,29316250624,
%U A017429 44840334375,66338290976,95388992557,133827821568,183765996899
%N A017429 a(n) = (11*n+3)^5.
%H A017429 Vincenzo Librandi, <a href="/A017429/b017429.txt">Table of n, a(n) for n = 0..1000</a>
%H A017429 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F A017429 a(0)=243, a(1)=537824, a(2)=9765625, a(3)=60466176, a(4)=229345007, a(5)=656356768, a(n) = 6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - _Harvey P. Dale_, Apr 30 2013
%F A017429 G.f.: (243 + 536366*x + 6542326*x^2 + 9934926*x^3 + 2279491*x^4 + 32768*x^5)/(x - 1)^6. - _Indranil Ghosh_, Apr 15 2017
%p A017429 A017429:=n->(11*n+3)^5: seq(A017429(n), n=0..50); # _Wesley Ivan Hurt_, Apr 14 2017
%t A017429 (* From _Harvey P. Dale_, Apr 30 2013: (Start) *)
%t A017429 (11*Range[0,20]+3)^5
%t A017429 LinearRecurrence[{6,-15,20,-15,6,-1},{243,537824,9765625,60466176,229345007,656356768},20] (* End *)
%t A017429 CoefficientList[Series[(243 + 536366*x + 6542326*x^2 + 9934926*x^3 + 2279491*x^4 + 32768*x^5)/(x - 1)^6, {x, 0, 50}], x] (* _Indranil Ghosh_, Apr 15 2017 *)
%t A017429 Table[(11 n + 3)^5, {n, 0, 30}] (* _Vincenzo Librandi_, Apr 16 2017 *)
%o A017429 (PARI) a(n) = (11*n + 3)^5; \\ _Indranil Ghosh_, Apr 15 2017
%o A017429 (Magma) [(11*n+3)^5: n in [0..20]]; // _Vincenzo Librandi_, Apr 16 2017
%Y A017429 Cf. A000584, A017425.
%K A017429 nonn,easy
%O A017429 0,1
%A A017429 _N. J. A. Sloane_