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0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 1, 0, 2, 0, 0, 1, -1, 0, -1, 0, 2, 0, 0, -1, 1, 1, -2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 1, -1, -2, 0, -2, 2, 2, 0, 1, 0, 1, -1, 0, 1, 0, 1, -1, -2, -1, 0, 1, 0, 0, 2, -1, 0, -1, 0, 2, 1, 2, 0, -1, 0, -1, 1, 0, 1, 0, -1, 3, -1, 1, 0, 2, 1, -1, -1, -2, -2, 1, 0, 1, -2, 0, 2, 2, 2, 0, 0, 0
(list;
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refs;
listen;
history;
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internal format)
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OFFSET
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1,17
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COMMENTS
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LINKS
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FORMULA
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a(2) = 0, a(p) = A331410(p+1)-A329697(p-1) for odd primes p, a(m*n) = a(m)+a(n), if m,n > 1.
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PROG
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(PARI)
A329697(n) = { my(f=factor(n)); sum(k=1, #f~, if(2==f[k, 1], 0, f[k, 2]*(1+A329697(f[k, 1]-1)))); };
A331410(n) = { my(f=factor(n)); sum(k=1, #f~, if(2==f[k, 1], 0, f[k, 2]*(1+A331410(f[k, 1]+1)))); };
\\ Or alternatively as:
A335877(n) = { my(f=factor(n)); sum(k=1, #f~, if(2==f[k, 1], 0, f[k, 2]*(A331410(f[k, 1]+1)-A329697(f[k, 1]-1)))); };
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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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