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A158090 Period length 9: repeat 0, 6, 0, 6, 0, 0, 3, 3, 0. 3
0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0, 3, 3, 0, 0, 6, 0, 6, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the continued fraction expansion of 6+sqrt(3970)/10 (dropping a(0)).

Also the decimal expansion of 6733370/111111111.

LINKS

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

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

FORMULA

a(n) = ( A061037(n)*A061037(n+1) ) mod 9.

a(n) = a(n-9). G.f.: -3*x*(2+2*x^2+x^5+x^6)/((x-1)*(1+x+x^2)*(x^6+x^3+1)).

a(n)=(1/28)*{(n mod 9)+7*[(n+1) mod 9]+[(n+2) mod 9]-5*[(n+3) mod 9]+[(n+4) mod 9]+13*[(n+5) mod 9]-11*[(n+6) mod 9]+13*[(n+7) mod 9]-11*[(n+8) mod 9]}, with n>=0 [From Paolo P. Lava, Mar 16 2009]

CROSSREFS

Cf. A157742, A158012, A158068.

Sequence in context: A019110 A280508 A217221 * A010677 A021169 A303494

Adjacent sequences:  A158087 A158088 A158089 * A158091 A158092 A158093

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Mar 12 2009

EXTENSIONS

A-number in the formula corrected by R. J. Mathar, Sep 11 2009

STATUS

approved

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Last modified December 10 12:30 EST 2019. Contains 329895 sequences. (Running on oeis4.)