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A349390
Dirichlet convolution of A126760 with Kimberling's paraphrases, A003602.
12
1, 2, 3, 3, 5, 6, 7, 4, 8, 10, 10, 9, 12, 14, 17, 5, 15, 16, 17, 15, 24, 20, 20, 12, 28, 24, 22, 21, 25, 34, 27, 6, 35, 30, 47, 24, 32, 34, 42, 20, 35, 48, 37, 30, 50, 40, 40, 15, 54, 56, 53, 36, 45, 44, 71, 28, 60, 50, 50, 51, 52, 54, 71, 7, 84, 70, 57, 45, 71, 94, 60, 32, 62, 64, 100, 51, 99, 84, 67, 25, 63, 70, 70
OFFSET
1,2
LINKS
FORMULA
a(n) = Sum_{d|n} A126760(n/d) * A003602(d).
MATHEMATICA
f[n_] := 2 * Floor[(m = n/2^IntegerExponent[n, 2]/3^IntegerExponent[n, 3])/6] + Mod[m, 3]; k[n_] := (n/2^IntegerExponent[n, 2] + 1)/2; a[n_] := DivisorSum[n, f[#] * k[n/#] &]; Array[a, 100] (* Amiram Eldar, Nov 16 2021 *)
PROG
(PARI)
A003602(n) = (1+(n>>valuation(n, 2)))/2;
A126760(n) = {n&&n\=3^valuation(n, 3)<<valuation(n, 2); n%3+n\6*2}; \\ From A126760
A349390(n) = sumdiv(n, d, A126760(n/d)*A003602(d));
CROSSREFS
Cf. A347233, A347234, A349391, A349392, A349393, A349395, A349431, A349444, A349447 for other Dirichlet convolutions of A126760. And also A349370.
Sequence in context: A328745 A357134 A003967 * A099209 A099208 A331299
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 15 2021
STATUS
approved