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A349395 Dirichlet convolution of A126760 with Liouville's lambda. 8
1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 3, 0, 4, 0, 0, 1, 5, 0, 6, 1, 0, 0, 7, 0, 8, 0, 0, 2, 9, 0, 10, 0, 0, 0, 8, 1, 12, 0, 0, 0, 13, 0, 14, 3, 1, 0, 15, 0, 15, 0, 0, 4, 17, 0, 14, 0, 0, 0, 19, 0, 20, 0, 2, 1, 16, 0, 22, 5, 0, 0, 23, 0, 24, 0, 0, 6, 20, 0, 26, 1, 1, 0, 27, 0, 22, 0, 0, 0, 29, 0, 24, 7, 0, 0, 24, 0, 32, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,7
LINKS
MATHEMATICA
f[n_] := 2 * Floor[(m = n/2^IntegerExponent[n, 2]/3^IntegerExponent[n, 3])/6] + Mod[m, 3]; a[n_] := DivisorSum[n, f[#] * LiouvilleLambda[n/#] &]; Array[a, 100] (* Amiram Eldar, Nov 16 2021 *)
PROG
(PARI)
A008836(n) = ((-1)^bigomega(n));
A126760(n) = {n&&n\=3^valuation(n, 3)<<valuation(n, 2); n%3+n\6*2}; \\ From A126760
A349395(n) = sumdiv(n, d, A126760(n/d)*A008836(d));
CROSSREFS
Cf. A347233, A347234, A349390, A349391, A349392, A349393 for other Dirichlet convolutions of A126760. And also A349375.
Sequence in context: A177825 A175790 A124305 * A087073 A297173 A242411
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 15 2021
STATUS
approved

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Last modified July 24 03:05 EDT 2024. Contains 374575 sequences. (Running on oeis4.)