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A141425 Period 6: repeat 1, 2, 4, 5, 7, 8. 21
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 17036/50023. [From Paolo P. Lava, Aug 05 2009]

LINKS

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

Index to sequences with 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]} [From Paolo P. Lava, Aug 25 2008]

G.f.: x(1+2x+4x^2+5x^3+7x^4+8x^5)/((1-x)(1+x)(1-x+x^2)(1+x+x^2)). [From 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

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 [From Jaume Oliver Lafont, Aug 30 2009]

CROSSREFS

Sequence in context: A062249 A081404 A081516 * 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 November 23 05:04 EST 2014. Contains 249839 sequences.