A158090 Period 9: repeat [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, 3, 3, 0, 0, 6, 0, 6, 0, 0

Offset: 0

Author

Paul Curtz, Mar 12 2009

Keywords

• nonn
• easy
• less

Comments

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

Also the decimal expansion of 6733370/111111111.

Links

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

Crossrefs

Cf. A157742, A158012, A158068.

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)).

Extensions

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