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.

A167533 a(n) = 71*n - a(n-1) for n>0, a(0)=12.

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%I A167533 #28 Mar 19 2024 09:32:32
%S A167533 12,59,83,130,154,201,225,272,296,343,367,414,438,485,509,556,580,627,
%T A167533 651,698,722,769,793,840,864,911,935,982,1006,1053,1077,1124,1148,
%U A167533 1195,1219,1266,1290,1337,1361,1408,1432,1479,1503,1550,1574,1621,1645
%N A167533 a(n) = 71*n - a(n-1) for n>0, a(0)=12.
%H A167533 Vincenzo Librandi, <a href="/A167533/b167533.txt">Table of n, a(n) for n = 0..1000</a>
%H A167533 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1).
%F A167533 G.f.: (12 + 47*x + 12*x^2)/((1 + x)*(1 - x)^2). - _Vincenzo Librandi_, Jun 06 2014
%F A167533 Sum_{n>=0} (-1)^n/a(n) = cot(12*Pi/71)*Pi/71. - _Amiram Eldar_, Feb 24 2023
%t A167533 CoefficientList[Series[(12 + 47 x + 12 x^2)/((1 + x) (1 - x)^2), {x, 0, 50}], x] (* _Vincenzo Librandi_, Jun 06 2014 *)
%t A167533 LinearRecurrence[{1,1,-1},{12,59,83},50] (* _Harvey P. Dale_, Dec 09 2015 *)
%o A167533 (Magma) [(71/4)-(23/4)*(-1)^n+(71/2)*n: n in [0..50]]; // _Vincenzo Librandi_, Jun 06 2014
%K A167533 nonn,easy
%O A167533 0,1
%A A167533 _Vincenzo Librandi_, Nov 06 2009
%E A167533 Edited by _N. J. A. Sloane_, Jun 23 2010