A270740 Period 9: repeat 0,1,2,2,0,1,1,2,0.

0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0

Offset

0,3

Links

Table of n, a(n) for n=0..62.

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

Formula

a(n) = (n - floor(n/3)) mod 3.

From Chai Wah Wu, Jun 04 2016: (Start)

a(n) = a(n-1) - a(n-3) + a(n-4) - a(n-6) + a(n-7) for n > 6.

G.f.: x*(1 + x - x^3 + 2*x^4)/((1 - x)*(1 + x^3 + x^6)). (End)

Mathematica

Table[Mod[n - Floor[n/3], 3], {n, 0, 120}] (* Michael De Vlieger, Mar 25 2016 *)
PadRight[{}, 120, {0, 1, 2, 2, 0, 1, 1, 2, 0}] (* Harvey P. Dale, Jan 16 2019 *)

Prog

(PARI) a(n) = (n - n\3) % 3; \\ Michel Marcus, Mar 22 2016

Crossrefs

Cf. A002264 (floor(n/3)), A010872 (n mod 3).

Sequence in context: A206442 A137581 A156311 * A189463 A287451 A113414

Adjacent sequences: A270737 A270738 A270739 * A270741 A270742 A270743

Keyword

nonn,easy

Author

William Walkington, Mar 22 2016

Status

approved