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.

A141694 a(n) = 22*n + 12.

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%I A141694 #42 Apr 12 2025 09:50:03
%S A141694 12,34,56,78,100,122,144,166,188,210,232,254,276,298,320,342,364,386,
%T A141694 408,430,452,474,496,518,540,562,584,606,628,650,672,694,716,738,760,
%U A141694 782,804,826,848,870,892,914,936,958,980,1002,1024,1046,1068,1090,1112
%N A141694 a(n) = 22*n + 12.
%H A141694 Vincenzo Librandi, <a href="/A141694/b141694.txt">Table of n, a(n) for n = 0..10000</a>
%H A141694 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A141694 From _G. C. Greubel_, Jun 03 2018: (Start)
%F A141694 a(n) = 2*a(n-1) - a(n-2).
%F A141694 G.f.: 2*(6 + 5*x)/(1 - x)^2.
%F A141694 E.g.f.: 2*(6 + 11*x)*exp(x). (End)
%F A141694 a(n) = 2*A017461(n). - _Elmo R. Oliveira_, Apr 11 2025
%t A141694 Range[12, 1500, 22] (* _Vladimir Joseph Stephan Orlovsky_, Jun 01 2011 *)
%t A141694 LinearRecurrence[{2,-1},{12,34},60] (* _Harvey P. Dale_, Sep 06 2024 *)
%o A141694 (Magma) [22*n + 12: n in [0..50]]; // _Vincenzo Librandi_, Aug 08 2011
%o A141694 (PARI) for(n=0,50, print1(2*(11*n + 6), ", ")) \\ _G. C. Greubel_, Jun 03 2018
%Y A141694 Cf. A008604, A010861 (first differences), A017461.
%K A141694 nonn,less,easy
%O A141694 0,1
%A A141694 _Paul Curtz_, Sep 10 2008
%E A141694 Edited by _R. J. Mathar_, Oct 24 2008
%E A141694 Offset changed from 1 to 0 by _Vincenzo Librandi_, Aug 08 2011