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A340094
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Dirichlet inverse of A062830, n - phi(n) + 1.
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4
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1, -2, -2, 1, -2, 3, -2, -1, 0, 1, -2, -1, -2, -1, 0, 0, -2, -1, -2, 3, -2, -5, -2, 1, -2, -7, -2, 7, -2, 9, -2, -1, -6, -11, -4, 4, -2, -13, -8, -3, -2, 17, -2, 15, 2, -17, -2, 1, -4, -3, -12, 19, -2, 3, -8, -7, -14, -23, -2, -11, -2, -25, 4, -1, -10, 33, -2, 27, -18, 17, -2, -3, -2, -31, -4, 31, -10, 41, -2, 5
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OFFSET
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1,2
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LINKS
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FORMULA
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a(1) = 1, for n > 1, a(n) = -Sum_{d|n, d<n} A062830(n/d) * a(d).
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PROG
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(PARI)
up_to = 16384;
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 (correctly!).
v340094 = DirInverseCorrect(vector(up_to, n, A062830(n)));
\\ Or as:
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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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