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A258859 Ninth pi-based arithmetic derivative of n. 2
0, 0, 0, 0, 4, 0, 4, 4, 81920, 81920, 0, 0, 622592, 4, 512, 2304, 4931584, 4, 2304, 12288, 4931584, 512, 208, 12288, 193644, 12288, 2304, 8322048, 423168, 0, 81920, 0, 38944768, 12288, 0, 4, 37880, 81920, 4, 423168, 37880, 4, 80, 208, 2298880, 43632, 4, 512 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
FORMULA
a(n) = A258851^9(n).
MAPLE
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, 9):
seq(a(n), n=0..100);
CROSSREFS
Column k=9 of A258850.
Sequence in context: A258857 A258858 A258849 * A258860 A134944 A088375
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 12 2015
STATUS
approved

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Last modified September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)