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1, -1, -2, -10, -2, -32, -4, -64, -42, -54, -2, -214, -4, -112, -112, -316, -2, -469, -4, -412, -232, -168, -6, -792, -90, -262, -612, -860, -2, -1208, -6, -1216, -340, -354, -320, -1655, -4, -484, -532, -1760, -2, -2528, -4, -1438, -1850, -732, -6, 160, -364, -1863, -712, -2210, -6, -4596, -384, -3696, -976, -942, -2
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OFFSET
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1,3
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COMMENTS
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Dirichlet inverse of the pointwise sum of A341512 and A063524 (1, 0, 0, 0, ...).
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LINKS
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FORMULA
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a(1) = 1; and for n > 1, a(n) = -Sum_{d|n, d < n} A341512(n/d) * a(d).
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PROG
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(PARI)
up_to = 16384;
A003961(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); }; \\ From A003961
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.
Aux347096(n) = if(1==n, n, A341512(n));
v347096 = DirInverseCorrect(vector(up_to, n, Aux347096(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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