OFFSET
1,7
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..10000
FORMULA
G.f.: Sum_{k>0} (-1)^(k-1) * x^(3*k-2) / (1 - x^(3*k-2)).
a(n) = -Sum_{d|n, n/d==1 (mod 3)} (-1)^(n/d) = -Sum_{d|n, d==1 (mod 3)} (-1)^d.
MATHEMATICA
a[n_] := -DivisorSum[n, (-1)^(n/#) &, Mod[n/#, 3] == 1 &]; Array[a, 100] (* Amiram Eldar, Jul 01 2023 *)
PROG
(PARI) a(n) = -sumdiv(n, d, (d%3==1)*(-1)^d);
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jul 01 2023
STATUS
approved