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A354348
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Dirichlet inverse of function f(1) = 1, f(n) = gcd(A003415(n), A276086(n)) for n > 1.
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8
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1, -1, -1, 0, -1, -3, -1, -2, -5, 1, -1, 8, -1, -1, 0, 4, -1, 18, -1, -2, -8, 1, -1, 0, -9, -13, 8, 4, -1, 9, -1, -2, -12, 1, -4, -9, -1, -19, 0, 8, -1, 29, -1, -2, 10, -23, -1, 2, -13, 4, -8, 22, -1, 20, 0, 2, 0, 1, -1, -13, -1, -1, 26, 2, -16, 33, -1, -2, 0, 13, -1, -14, -1, -1, 16, 36, -16, 37, -1, -10, 19, 1
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OFFSET
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1,6
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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} A327858(n/d) * a(d).
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PROG
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(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
memoA354348 = Map();
A354348(n) = if(1==n, 1, my(v); if(mapisdefined(memoA354348, n, &v), v, v = -sumdiv(n, d, if(d<n, A327858(n/d)*A354348(d), 0)); mapput(memoA354348, n, v); (v)));
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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