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A359788
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Dirichlet inverse of A075255, where A075255(n) = n - sopfr(n), where sopfr is the sum of prime factors (with repetition).
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3
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1, 0, 0, 0, 0, -1, 0, -2, -3, -3, 0, -5, 0, -5, -7, -8, 0, -10, 0, -11, -11, -9, 0, -15, -15, -11, -18, -17, 0, -20, 0, -22, -19, -15, -23, -25, 0, -17, -23, -29, 0, -30, 0, -29, -34, -21, 0, -33, -35, -38, -31, -35, 0, -37, -39, -43, -35, -27, 0, -42, 0, -29, -50, -48, -47, -50, 0, -47, -43, -56, 0, -38, 0, -35
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OFFSET
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1,8
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COMMENTS
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The first positive term after a(1) occurs as a(144) = 13.
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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} A075255(n/d) * a(d).
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PROG
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(PARI)
memoA359788 = Map();
A359788(n) = if(1==n, 1, my(v); if(mapisdefined(memoA359788, n, &v), v, v = -sumdiv(n, d, if(d<n, A075255(n/d)*A359788(d), 0)); mapput(memoA359788, 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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