OFFSET
1,2
COMMENTS
Dirichlet inverse of A111218.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..10000
FORMULA
Multiplicative with a(p^e) = (-1)^e * binomial(8, e).
a(1) = 1; a(n) = -Sum_{d|n, d < n} tau_8(n/d) * a(d).
MATHEMATICA
a[1] = 1; a[n_] := Times @@ ((-1)^#[[2]] Binomial[8, #[[2]]] &/@ FactorInteger[n]); Table[a[n], {n, 60}]
PROG
(PARI) for(n=1, 100, print1(direuler(p=2, n, (1 - X)^8)[n], ", ")) \\ Vaclav Kotesovec, Feb 22 2021
CROSSREFS
KEYWORD
sign,mult
AUTHOR
Ilya Gutkovskiy, Feb 21 2021
STATUS
approved