A010704 Period 2: repeat (3,6).

3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Continued fraction expansion of A176105. - R. J. Mathar, Mar 08 2012

Digital roots of A007283. - Bruno Berselli, Nov 22 2018

Decimal expansion of 4/11. - Franklin T. Adams-Watters, Nov 28 2018

Links

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

Crossrefs

Cf. A000034, A007283, A176105, A213999.

Programs

GAP

Flat(List([1..60], n->[3,6])); # Muniru A Asiru, Nov 29 2018

Haskell

a010704 n = (* 3) . a000034
a010704_list = cycle [3,6]  -- Reinhard Zumkeller, Jul 03 2012

Magma

&cat [[3, 6]^^50]; // Vincenzo Librandi, Feb 28 2020

Maple

seq(op([3,6]),n=1..60); # Muniru A Asiru, Nov 29 2018

Mathematica

PadRight[{},120,{3,6}] (* Harvey P. Dale, Dec 12 2012 *)

PARI

a(n)=3+n%2*3 \\ Charles R Greathouse IV, Dec 21 2011

Formula

G.f. 3*(1 + 2*x)/((1 - x)*(1 + x)). - R. J. Mathar, Nov 21 2011

From Reinhard Zumkeller, Jul 03 2012: (Start)

a(n) = 3*A000034(n).

a(n) = A213999(n,2). (End)

a(n + 1) = 9 - a(n). - David A. Corneth, Nov 29 2018

a(n) = 2 + 2^(1 - (-1)^n). - Vincenzo Librandi, Feb 28 2020

a(n) = 3*(3-(-1)^n)/2. - Aaron J Grech, Aug 02 2024