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A374106
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a(n) = gcd(A113177(n), A328845(n)), where A113177 is fully additive with a(p) = Fibonacci(p) and A328845 is the first Fibonacci-based variant of the arithmetic derivative.
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9
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0, 1, 2, 2, 5, 1, 13, 3, 4, 3, 89, 4, 233, 1, 1, 4, 1597, 1, 4181, 1, 1, 9, 28657, 1, 10, 1, 6, 5, 514229, 1, 1346269, 5, 1, 1, 2, 6, 24157817, 17, 5, 4, 165580141, 1, 433494437, 1, 3, 7, 2971215073, 2, 26, 1, 1, 1, 53316291173, 1, 2, 4, 1, 3, 956722026041, 1, 2504730781961, 1, 1, 6, 2, 1, 44945570212853, 3, 1, 1
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OFFSET
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1,3
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LINKS
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FORMULA
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PROG
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(PARI)
A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i, 1])));
A328845(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]*fibonacci(f[i, 1])/f[i, 1]));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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