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A141425 Period 6: repeat [1, 2, 4, 5, 7, 8]. 22
1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Terms of the simple continued fraction of 163/(4*sqrt(32370)-607). Decimal expansion of 46140/37037. - Paolo P. Lava, Aug 05 2009; corrected by David A. Corneth, Jun 28 2016

LINKS

Table of n, a(n) for n=1..105.

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

FORMULA

a(n) = (1/30)*{44*(n mod 6)+4*[(n+1) mod 6]-[(n+2) mod 6]+4*[(n+3) mod 6]-[(n+4) mod 6]+4*[(n+5) mod 6]}. [Paolo P. Lava, Aug 25 2008]

G.f.: x*(1+2*x+4*x^2+5*x^3+7*x^4+8*x^5)/((1-x)*(1+x)*(1-x+x^2)*(1+x+x^2)). [R. J. Mathar, Nov 11 2008]

a(n) = 9/2 - 3*cos(Pi*(n-1)/3)/2 - 3^(3/2)*sin(Pi*(n-1)/3)/2 - 3*cos(2*Pi*(n-1)/3)/2 - 3^(1/2)*sin(2*Pi*(n-1)/3)/2 + (-1)^n/2. - R. J. Mathar, Oct 08 2011

From Wesley Ivan Hurt, Apr 20 2015: (Start)

Recurrence: a(n) = a(n-6) for n>6.

a(n) = (2+3*(5-n mod 3))*(n-1 mod 2)+(1+3*(1-n mod 3))*(n mod 2). (End)

MAPLE

A141425:=n->[1, 2, 4, 5, 7, 8][(n mod 6)+1]: seq(A141425(n), n=0..100); # Wesley Ivan Hurt, Jun 28 2016

MATHEMATICA

Select[ If[Mod[ #, 3] != 0, Mod[ #, 9], 0] & /@ Range@ 157, # > 0 &] (* Robert G. Wilson v, Aug 18 2008 *)

PROG

(PARI) a(n)=(1+(n%2)+3*((n-1)%6))/2 \\ Jaume Oliver Lafont, Aug 30 2009

(MAGMA) &cat [[1, 2, 4, 5, 7, 8]^^30]; // Wesley Ivan Hurt, Jun 28 2016

CROSSREFS

Sequence in context: A081404 A081516 A255873 * A023962 A094562 A178344

Adjacent sequences:  A141422 A141423 A141424 * A141426 A141427 A141428

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Aug 06 2008

STATUS

approved

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Last modified September 27 23:36 EDT 2016. Contains 276599 sequences.