A300290 Period 6: repeat [0, 1, 2, 2, 3, 3].

0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3

Offset

0,3

Comments

Underlying A300068(n+2), n >= 0.

Links

Table of n, a(n) for n=0..89.

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

Formula

a(n) = n (mod 6) - floor((n (mod 6))/3) - floor((n (mod 6))/5), n >= 0.

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

a(n) = (11 - 5*cos(n*Pi/3) - 5*cos(2*n*Pi/3) - cos(n*Pi) - 3*sqrt(3)*sin(n*Pi/3) - sqrt(3)*sin(2*n*Pi/3))/6. - Wesley Ivan Hurt, Oct 04 2018

Crossrefs

Cf. A300067, A300069, A300068, A300075.

Sequence in context: A181313 A334515 A164089 * A068460 A308120 A143797

Adjacent sequences: A300287 A300288 A300289 * A300291 A300292 A300293

Keyword

nonn,easy

Author

Wolfdieter Lang, Mar 03 2018

Status

approved