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A353454
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a(1) = 1, for n > 1, a(n) = -Sum_{d|n, d<n} a(A064989(n)) * a(d).
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3
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1, -1, 1, 0, -1, 1, 1, 0, 0, 1, -1, 2, 1, 1, -1, 0, -1, 0, 1, 0, -3, 1, -1, 4, 0, 1, 0, 2, 1, -1, -1, 0, -1, 1, 1, 0, 1, 1, -3, 0, -1, -1, 1, 0, 0, 1, -1, 8, 0, 0, -1, 2, 1, 0, -3, 4, -3, 1, -1, -2, 1, 1, 0, 0, 1, -1, -1, 0, -1, 3, 1, 0, -1, 1, 0, 2, -1, -1, 1, 0, 0, 1, -1, -4, -3, 1, -3, 0, 1, 0, 9, 0, -1, 1, 1, 16
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OFFSET
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1,12
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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} A353455(n) * a(d).
For all n >= 1, a(A000040(n)) = ((-1)^n).
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PROG
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(PARI)
A064989(n) = { my(f=factor(A000265(n))); for(i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f); };
memoA353454 = Map();
A353454(n) = if(1==n, 1, my(v); if(mapisdefined(memoA353454, n, &v), v, v = -sumdiv(n, d, if(d<n, A353454(A064989(n))*A353454(d), 0)); mapput(memoA353454, 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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