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A114753 First column of A114751. 7
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, 51, 27, 55, 29, 59, 31, 63, 33, 67, 35, 71, 37, 75, 39, 79, 41, 83, 43, 87, 45, 91, 47, 95, 49, 99, 51, 103, 53, 107, 55, 111, 57, 115, 59, 119, 61, 123, 63, 127, 65, 131, 67, 135, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A114752, (1, 2, 5, 4, 9, 6,...) + A114753 - (1,1,1,...) = 3n+1: (1, 4, 7, 10, 13,...). - Gary W. Adamson, Sep 16 2007

First column of table A210530. - Boris Putievskiy, Jan 29 2013

LINKS

Table of n, a(n) for n=1..69.

Index entries for linear recurrences with constant coefficients, signature (0,2,0,-1).

FORMULA

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

a(n) = +2*a(n-2) -1*a(n-4) [Joerg Arndt, Apr 02 2011]

Equals A133080 * [1,2,3,...]. - Gary W. Adamson, Sep 08 2007

G.f. x*(1+3*x+x^2+x^3) / ( (x-1)^2*(1+x)^2 ). - R. J. Mathar, Apr 04 2012

a(n) = (3*n-1-(n-1)*(-1)^(n-1))/2. - Boris Putievskiy, Jan 29 2013

MATHEMATICA

Table[If[OddQ[n], n, 2n-1], {n, 1, 120}] (* Vladimir Joseph Stephan Orlovsky, Apr 02 2011*)

CROSSREFS

Cf. A114751, A114752.

Cf. A133080, A210530.

Sequence in context: A318461 A085379 A070801 * A079316 A106481 A106477

Adjacent sequences:  A114750 A114751 A114752 * A114754 A114755 A114756

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy, Nov 15 2005

EXTENSIONS

More terms from Joshua Zucker, May 05 2006

STATUS

approved

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Last modified June 19 03:06 EDT 2021. Contains 345125 sequences. (Running on oeis4.)