|
|
A341836
|
|
Dirichlet g.f.: 1 / zeta(s)^10.
|
|
8
|
|
|
1, -10, -10, 45, -10, 100, -10, -120, 45, 100, -10, -450, -10, 100, 100, 210, -10, -450, -10, -450, 100, 100, -10, 1200, 45, 100, -120, -450, -10, -1000, -10, -252, 100, 100, 100, 2025, -10, 100, 100, 1200, -10, -1000, -10, -450, -450, 100, -10, -2100, 45, -450, 100, -450
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Multiplicative with a(p^e) = (-1)^e * binomial(10, e).
a(1) = 1; a(n) = -Sum_{d|n, d < n} tau_10(n/d) * a(d).
|
|
MATHEMATICA
|
a[1] = 1; a[n_] := Times @@ ((-1)^#[[2]] Binomial[10, #[[2]]] &/@ FactorInteger[n]); Table[a[n], {n, 52}]
|
|
PROG
|
(PARI) for(n=1, 100, print1(direuler(p=2, n, (1 - X)^10)[n], ", ")) \\ Vaclav Kotesovec, Feb 22 2021
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,mult
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|