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A363895
Floor of the average of the distinct prime factors of n.
4
2, 3, 2, 5, 2, 7, 2, 3, 3, 11, 2, 13, 4, 4, 2, 17, 2, 19, 3, 5, 6, 23, 2, 5, 7, 3, 4, 29, 3, 31, 2, 7, 9, 6, 2, 37, 10, 8, 3, 41, 4, 43, 6, 4, 12, 47, 2, 7, 3, 10, 7, 53, 2, 8, 4, 11, 15, 59, 3, 61, 16, 5, 2, 9, 5, 67, 9, 13, 4, 71, 2, 73, 19, 4, 10, 9, 6, 79
OFFSET
2,1
FORMULA
a(p^n) = p, p prime, n >= 1.
a(n) = floor(A008472(n)/A001221(n)).
a(n) = floor(A323171(n)/A323172(n)).
MATHEMATICA
a[n_] := Floor[Mean[FactorInteger[n][[;; , 1]]]]; Array[a, 100, 2] (* Amiram Eldar, Jun 27 2023 *)
PROG
(Python)
from sympy import factorint
def a(n):
P = factorint(n).keys()
return int(sum(P)/len(P))
print([a(n) for n in range(2, 85)])
(PARI) a(n) = my(p = factor(n)[, 1]); vecsum(p)\#p; \\ Amiram Eldar, Jun 29 2023
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Darío Clavijo, Jun 26 2023
STATUS
approved