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A258858
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Eighth pi-based arithmetic derivative of n.
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2
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0, 0, 0, 0, 4, 0, 4, 4, 12288, 12288, 0, 0, 81920, 4, 208, 512, 622592, 4, 512, 2304, 622592, 208, 80, 2304, 52056, 2304, 512, 1050624, 114752, 0, 12288, 0, 4931584, 2304, 0, 4, 11900, 12288, 4, 114752, 11900, 4, 32, 80, 423168, 9936, 4, 208, 3679488, 3084
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OFFSET
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0,5
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LINKS
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FORMULA
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MAPLE
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with(numtheory):
d:= n-> n*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):
A:= proc(n, k) option remember; `if`(k=0, n, d(A(n, k-1))) end:
a:= n-> A(n, 8):
seq(a(n), n=0..100);
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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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