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A359789
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Dirichlet inverse of A036288, where A036288(n) = 1 + sopfr(n), where sopfr is the sum of prime divisors with repetition, A001414.
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7
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1, -3, -4, 4, -6, 18, -8, -4, 9, 28, -12, -40, -14, 38, 39, 4, -18, -63, -20, -64, 53, 58, -24, 64, 25, 68, -18, -88, -30, -253, -32, -4, 81, 88, 83, 216, -38, 98, 95, 104, -42, -347, -44, -136, -144, 118, -48, -88, 49, -175, 123, -160, -54, 180, 127, 144, 137, 148, -60, 820, -62, 158, -198, 4, 149, -535
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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, and for n > 1, a(n) = -Sum_{d|n, d<n} A036288(n/d) * a(d).
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PROG
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(PARI)
memoA359789 = Map();
A359789(n) = if(1==n, 1, my(v); if(mapisdefined(memoA359789, n, &v), v, v = -sumdiv(n, d, if(d<n, (1+A001414(n/d))*A359789(d), 0)); mapput(memoA359789, 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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