OFFSET
1,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..3000
FORMULA
G.f.: (1/(1 - x)) * Sum_{k>=1} x^k * (1 - x^k)/(1 + 2*x^k).
MATHEMATICA
a[n_] := Sum[(-2)^(Floor[n/k] - 1), {k, 1, n}]; Array[a, 30] (* Amiram Eldar, Jun 06 2021 *)
PROG
(PARI) a(n) = sum(k=1, n, (-2)^(n\k-1));
(PARI) my(N=40, x='x+O('x^N)); Vec(sum(k=1, N, x^k*(1-x^k)/(1+2*x^k))/(1-x))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jun 06 2021
STATUS
approved