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A185232 n-th arithmetic derivative of n. 3
0, 0, 0, 0, 4, 0, 0, 0, 1520, 0, 0, 0, 235072, 0, 0, 705280, 278539264, 0, 0, 0, 226593936, 0, 0, 0, 295266178368, 0, 24143851798528, 27, 10557680820452065280, 0, 0, 0, 2821525007683005301391360, 0, 0, 2821525007683005301391360, 43942858408664114852524638339072 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

a(n) is zero for all prime n.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..80

MATHEMATICA

dn[0]=0; dn[1]=0; dn[n_] := Module[{f=Transpose[FactorInteger[n]]}, If[PrimeQ[n], 1, Plus@@(n*f[[2]]/f[[1]])]]; Table[Nest[dn, n, n], {n, 50}]

CROSSREFS

Cf. A003415.

Main diagonal of A258651.

Sequence in context: A258647 A013334 A258648 * A258649 A258650 A156393

Adjacent sequences:  A185229 A185230 A185231 * A185233 A185234 A185235

KEYWORD

nonn

AUTHOR

José María Grau Ribas, Jan 24 2012

STATUS

approved

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Last modified November 14 12:44 EST 2019. Contains 329116 sequences. (Running on oeis4.)