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

0,2

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)).

Mathematica

PadRight[{}, 108, {0, 6, 0, 6, 0, 0, 3, 3, 0}] (* Paolo Xausa, May 22 2026 *)

Crossrefs

Cf. A061037, A157742, A158012, A158068.

Sequence in context: A280508 A217221 A378011 * A010677 A021169 A303494

Adjacent sequences: A158087 A158088 A158089 * A158091 A158092 A158093

Keyword

nonn,easy,less,changed

Author

Paul Curtz, Mar 12 2009

Extensions

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

Status

approved