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A347955
Dirichlet convolution of A003415 (arithmetic derivative) with A003602 (Kimberling's paraphrases).
11
0, 1, 1, 5, 1, 8, 1, 17, 8, 11, 1, 32, 1, 14, 13, 49, 1, 44, 1, 47, 16, 20, 1, 100, 13, 23, 44, 62, 1, 81, 1, 129, 22, 29, 19, 156, 1, 32, 25, 151, 1, 106, 1, 92, 86, 38, 1, 276, 18, 92, 31, 107, 1, 206, 25, 202, 34, 47, 1, 301, 1, 50, 111, 321, 28, 156, 1, 137, 40, 151, 1, 460, 1, 59, 120, 152, 28, 181, 1, 423, 206
OFFSET
1,4
LINKS
FORMULA
a(n) = Sum_{d|n} A003415(n/d) * A003602(d).
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003602(n) = (1+(n>>valuation(n, 2)))/2;
A347955(n) = sumdiv(n, d, A003415(n/d)*A003602(d));
CROSSREFS
Cf. also A347954, A347956.
Sequence in context: A021197 A286872 A363514 * A349133 A347131 A350515
KEYWORD
nonn
AUTHOR
Antti Karttunen, Sep 20 2021
STATUS
approved