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2, 0, 0, 4, 0, 8, 0, 8, 4, 12, 0, 8, 0, 16, 12, 16, 0, 12, 0, 12, 16, 24, 0, 16, 9, 28, 12, 16, 0, 8, 0, 32, 24, 36, 24, 20, 0, 40, 28, 24, 0, 12, 0, 24, 26, 48, 0, 32, 16, 34, 36, 28, 0, 32, 36, 32, 40, 60, 0, 32, 0, 64, 36, 64, 42, 20, 0, 36, 48, 24, 0, 40, 0, 76, 46, 40, 48, 24, 0, 48, 37, 84, 0, 44, 54, 88, 60, 48
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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FORMULA
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a(1) = 2, and for n > 1, a(n) = -Sum_{d|n, 1<d<n} A109168(d) * A349344(n/d).
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PROG
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(PARI)
up_to = 20000;
DirInverseCorrect(v) = { my(u=vector(#v)); u[1] = (1/v[1]); for(n=2, #v, u[n] = (-u[1]*sumdiv(n, d, if(d<n, v[n/d]*u[d], 0)))); (u) }; \\ Compute the Dirichlet inverse of the sequence given in input vector v.
v349344 = DirInverseCorrect(vector(up_to, n, A109168(n)));
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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