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A322584 a(n) is the number of terms of A025487 that divide n. 5
1, 2, 1, 3, 1, 3, 1, 4, 1, 2, 1, 5, 1, 2, 1, 5, 1, 3, 1, 3, 1, 2, 1, 7, 1, 2, 1, 3, 1, 4, 1, 6, 1, 2, 1, 6, 1, 2, 1, 4, 1, 3, 1, 3, 1, 2, 1, 9, 1, 2, 1, 3, 1, 3, 1, 4, 1, 2, 1, 7, 1, 2, 1, 7, 1, 3, 1, 3, 1, 2, 1, 9, 1, 2, 1, 3, 1, 3, 1, 5, 1, 2, 1, 5, 1, 2, 1, 4, 1, 4, 1, 3, 1, 2, 1, 11, 1, 2, 1, 3, 1, 3, 1, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = Sum_{d|} A322585(d).
Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = A161360 = 2.495806... . - Amiram Eldar, Jan 01 2024
PROG
(PARI)
A322585(n) = { my(f = factor(n)); for(i=1, #f~, if((primepi(f[i, 1])!=i)||((i>1)&&(f[i-1, 2]<f[i, 2])), return(0))); (1); };
A322584(n) = sumdiv(n, d, A322585(d));
CROSSREFS
Inverse Möbius transform of A322585.
Cf. also A181801.
Sequence in context: A049994 A135732 A342241 * A356224 A364767 A326154
KEYWORD
nonn
AUTHOR
Antti Karttunen, Dec 20 2018
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)