A180596 Digital root of 6n.

0, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3

Offset: 0

Author

Odimar Fabeny, Sep 10 2010

Keywords

• easy
• nonn
• base

Comments

Period of 3. - Robert G. Wilson v, Sep 20 2010

Links

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

Crossrefs

Cf. A010888, A008588.

Cf. A180592, A180593, A180594, A180595, A180597, A180598, A180599.

Column k = 6 in A353109.

Programs

Mathematica

f[n_] := Mod[6 n - 1, 9] + 1; f[0] = 0; Array[f, 105, 0] (* Robert G. Wilson v, Sep 20 2010 *)
PadRight[{0},120,{9,6,3}] (* Harvey P. Dale, Dec 18 2012 *)

Formula

G.f.: 3*x*(2 + x + 3*x^2)/(1 - x^3). - Stefano Spezia, Apr 21 2022

a(n) = A010888(A008588(n)). - Michel Marcus, Apr 24 2022

Extensions

More terms from Robert G. Wilson v, Sep 20 2010