OFFSET
0,3
LINKS
Amiram Eldar, Table of n, a(n) for n = 0..10000
FORMULA
Totally multiplicative sequence with a(p) = p^30 for prime p. Multiplicative sequence with a(p^e) = p^(30e). - Jaroslav Krizek, Nov 01 2009
From Amiram Eldar, Oct 09 2020: (Start)
Dirichlet g.f.: zeta(s-30).
Sum_{n>=1} 1/a(n) = zeta(30) = 6892673020804*Pi^30/5660878804669082674070015625.
Sum_{n>=1} (-1)^(n+1)/a(n) = 536870911*zeta(30)/536870912 = 925118910976041358111*Pi^30/759790291646040068357842010112000000. (End)
MATHEMATICA
Range[0, 10]^30 (* Harvey P. Dale, Mar 06 2019 *)
PROG
(Python)
def A122971(n): return n**30
from sympy import nextprime
def is_A122971(N, k=30): # 2nd opt. arg to check for powers other than 30
p = 2
while N >= p**k:
for e in range(N):
if N % p: break
N //= p
if e % k: return False
p = nextprime(p)
return N < 2 # M. F. Hasler, Jul 24 2022
CROSSREFS
KEYWORD
mult,nonn,easy
AUTHOR
Franklin T. Adams-Watters, Oct 27 2006
STATUS
approved