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.

A114753 First column of A114751.

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%I A114753 #25 Feb 07 2022 02:42:38
%S A114753 1,3,3,7,5,11,7,15,9,19,11,23,13,27,15,31,17,35,19,39,21,43,23,47,25,
%T A114753 51,27,55,29,59,31,63,33,67,35,71,37,75,39,79,41,83,43,87,45,91,47,95,
%U A114753 49,99,51,103,53,107,55,111,57,115,59,119,61,123,63,127,65,131,67,135,69
%N A114753 First column of A114751.
%C A114753 A114752, (1, 2, 5, 4, 9, 6, ...) + A114753 - (1,1,1,...) = 3n+1: (1, 4, 7, 10, 13, ...). - _Gary W. Adamson_, Sep 16 2007
%C A114753 First column of table A210530. - _Boris Putievskiy_, Jan 29 2013
%H A114753 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,2,0,-1).
%F A114753 a(2n+1) = 2n+1, a(2n) = 4n-1.
%F A114753 a(n) = 2*a(n-2) - a(n-4). - _Joerg Arndt_, Apr 02 2011
%F A114753 Equals A133080 * [1,2,3,...]. - _Gary W. Adamson_, Sep 08 2007
%F A114753 G.f. x*(1+3*x+x^2+x^3) / ( (x-1)^2*(1+x)^2 ). - _R. J. Mathar_, Apr 04 2012
%F A114753 a(n) = (3*n-1-(n-1)*(-1)^(n-1))/2. - _Boris Putievskiy_, Jan 29 2013
%t A114753 Table[If[OddQ[n],n,2n-1],{n,1,120}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 02 2011*)
%Y A114753 Cf. A114751, A114752.
%Y A114753 Cf. A133080, A210530.
%K A114753 easy,nonn
%O A114753 1,2
%A A114753 _Amarnath Murthy_, Nov 15 2005
%E A114753 More terms from _Joshua Zucker_, May 05 2006