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A114753 First column of A114751. 7

%I

%S 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 51,27,55,29,59,31,63,33,67,35,71,37,75,39,79,41,83,43,87,45,91,47,95,

%U 49,99,51,103,53,107,55,111,57,115,59,119,61,123,63,127,65,131,67,135,69

%N First column of A114751.

%C 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 First column of table A210530. - _Boris Putievskiy_, Jan 29 2013

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,2,0,-1).

%F a(2n+1) = 2n+1, a(2n) = 4n-1.

%F a(n) = +2*a(n-2) -1*a(n-4) [_Joerg Arndt_, Apr 02 2011]

%F Equals A133080 * [1,2,3,...]. - _Gary W. Adamson_, Sep 08 2007

%F G.f. x*(1+3*x+x^2+x^3) / ( (x-1)^2*(1+x)^2 ). - _R. J. Mathar_, Apr 04 2012

%F a(n) = (3*n-1-(n-1)*(-1)^(n-1))/2. - _Boris Putievskiy_, Jan 29 2013

%t Table[If[OddQ[n],n,2n-1],{n,1,120}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 02 2011*)

%Y Cf. A114751, A114752.

%Y Cf. A133080, A210530.

%K easy,nonn

%O 1,2

%A _Amarnath Murthy_, Nov 15 2005

%E More terms from _Joshua Zucker_, May 05 2006

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Last modified August 5 06:58 EDT 2021. Contains 346458 sequences. (Running on oeis4.)