OFFSET
1,8
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..20000
FORMULA
G.f.: Sum_{k>=1} (-1)^(k + 1) * k * x^(k*(k + 1)) / (1 + x^k).
MATHEMATICA
Table[DivisorSum[n, (-1)^(n/#) # &, # < Sqrt[n] &], {n, 1, 80}]
nmax = 80; CoefficientList[Series[Sum[(-1)^(k + 1) k x^(k (k + 1))/(1 + x^k), {k, 1, nmax}], {x, 0, nmax}], x] // Rest
PROG
(PARI) A348954(n) = sumdiv(n, d, if((d*d)<n, d*(-1)^(n/d), 0)); \\ Antti Karttunen, Nov 05 2021
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Nov 04 2021
STATUS
approved