OFFSET
0,3
COMMENTS
Multiplicative because A001160 is. - Andrew Howroyd, Jul 25 2018
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..1000
FORMULA
a(n) = n^3*A001160(n) for n > 0.
Sum_{k=1..n} a(k) ~ zeta(6) * n^9 / 9. - Amiram Eldar, Sep 06 2023
From Amiram Eldar, Oct 31 2023: (Start)
Multiplicative with a(p^e) = p^(3*e) * (p^(5*e+5)-1)/(p^5-1).
Dirichlet g.f.: zeta(s-3)*zeta(s-8). (End)
MATHEMATICA
a[0]=0; a[n_]:=(n^3)*DivisorSigma[5, n]; Table[a[n], {n, 0, 23}] (* Indranil Ghosh, Feb 21 2017 *)
PROG
(PARI) a(n) = if (n==0, 0, n^3*sigma(n, 5)); \\ Michel Marcus, Feb 21 2017
CROSSREFS
KEYWORD
nonn,easy,mult
AUTHOR
Seiichi Manyama, Feb 21 2017
STATUS
approved