A131282 Period 6: repeat [1, 2, 3, 3, 4, 5].

1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3

Offset

0,2

Comments

Decimal expansion of 13705/111111. - Klaus Brockhaus, May 17 2010

Links

Table of n, a(n) for n=0..104.

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

Formula

a(n) = 3 - 2*cos(Pi*n/3)/3 - 2*sin(Pi*n/3)/sqrt(3) - cos(2*Pi*n/3) - sin(2*Pi*n/3)/sqrt(3) - (-1)^n/3. - R. J. Mathar, Oct 08 2011

From Wesley Ivan Hurt, Jun 20 2016: (Start)

G.f.: (1+2*x+3*x^2+3*x^3+4*x^4+5*x^5)/(1-x^6).

a(n) = a(n-6) for n>5. (End)

Maple

A131282:=n->[1, 2, 3, 3, 4, 5][(n mod 6)+1]: seq(A131282(n), n=0..100); # Wesley Ivan Hurt, Jun 20 2016

Mathematica

PadLeft[{}, 18*6, {1, 2, 3, 3, 4, 5}] (* Harvey P. Dale, Sep 23 2011 *)

Prog

(PARI) a(n)=1+n%6-n%6\3 \\ Jaume Oliver Lafont, Aug 28 2009
(Magma) &cat [[1, 2, 3, 3, 4, 5]^^20]; // Wesley Ivan Hurt, Jun 20 2016

Crossrefs

Cf. A178038 (decimal expansion of (161+sqrt(44310))/259). - Klaus Brockhaus, May 17 2010

Sequence in context: A372594 A367009 A110533 * A305296 A114544 A154726

Adjacent sequences: A131279 A131280 A131281 * A131283 A131284 A131285

Keyword

nonn,easy

Author

Paul Curtz, Oct 21 2007

Status

approved