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A154127 Period 6: repeat [1, 2, 5, 8, 7, 4]. 4
1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2, 5, 8, 7, 4, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Terms of the simple continued fraction of 933/(sqrt(5071503)-1611). Decimal expansion of 18/143. [Paolo P. Lava, Feb 17 2009]

LINKS

Table of n, a(n) for n=0..85.

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

FORMULA

a(n) = (1/15)*{12*(n mod 6)+12*[(n+1) mod 6]+7*[(n+2) mod 6]-3*[(n+3) mod 6]-3*[(n+4) mod 6]+2*[(n+5) mod 6]}. [Paolo P. Lava, Jan 09 2009]

From R. J. Mathar, Feb 25 2009, Mar 09 2009: (Start)

a(n) = a(n-1) - a(n-3) + a(n-4) for n>3.

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

a(n) = (27-cos(n*Pi)-20*cos(n*Pi/3)-4*sqrt(3)*sin(n*Pi/3))/6. - Wesley Ivan Hurt, Jun 17 2016

MAPLE

A154127:=n->(27-cos(n*Pi)-20*cos(n*Pi/3)-4*sqrt(3)*sin(n*Pi/3))/6: seq(A154127(n), n=0..100); # Wesley Ivan Hurt, Jun 17 2016

MATHEMATICA

Flatten[Table[{1, 2, 5, 8, 7, 4}, {20}]] (* Wesley Ivan Hurt, Jun 17 2016 *)

PROG

(PARI) a(n)=[1, 2, 5, 8, 7, 4][n%6+1] \\ Charles R Greathouse IV, Jun 02 2011

(MAGMA) &cat[[1, 2, 5, 8, 7, 4]: n in [0..20]]; // Wesley Ivan Hurt, Jun 17 2016

CROSSREFS

Cf. A020806, A029898, A070366, A141425, A146501, A153130.

Sequence in context: A118119 A287013 A057929 * A250206 A138371 A140053

Adjacent sequences:  A154124 A154125 A154126 * A154128 A154129 A154130

KEYWORD

nonn,easy,less

AUTHOR

Paul Curtz, Jan 05 2009

EXTENSIONS

Corrected numerator in g.f R. J. Mathar, Mar 09 2009

STATUS

approved

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Last modified December 8 04:31 EST 2019. Contains 329850 sequences. (Running on oeis4.)