0,2

Euler transform of length 3 sequence [ 3, -3, 1].

Moebius transform is length 3 sequence [ 3, 0, -1].

a(-n) = a(n). a(n+3) = a(n) unless n=0 or n=-3. a(3*n) = 2 unless n=0. a(3*n + 1) = a(3*n + 2) = 3.

G.f.: -1 + (1/3) * ( 8 / (1 - x) - (2 + x) / (1 + x + x^2) ).

1 + 3*x + 3*x^2 + 2*x^3 + 3*x^4 + 3*x^5 + 2*x^6 + 3*x^7 + 3*x^8 + ...

(PARI) {a(n) = -(n==0) + 2 + kronecker(9, n)}

Sequence in context: A075017 A060586 A076662 this_sequence A079063 A031352 A057853

Adjacent sequences: A164356 A164357 A164358 this_sequence A164360 A164361 A164362

nonn

Michael Somos, Aug 13 2009