id:A099301 - OEIS Search Results

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Arithmetic derivative of d(n), the number of divisors of n.

+0
2

0, 1, 1, 1, 1, 4, 1, 4, 1, 4, 1, 5, 1, 4, 4, 1, 1, 5, 1, 5, 4, 4, 1, 12, 1, 4, 4, 5, 1, 12, 1, 5, 4, 4, 4, 6, 1, 4, 4, 12, 1, 12, 1, 5, 5, 4, 1, 7, 1, 5, 4, 5, 1, 12, 4, 12, 4, 4, 1, 16, 1, 4, 5, 1, 4, 12, 1, 5, 4, 12, 1, 16, 1, 4, 5, 5, 4, 12, 1, 7, 1, 4, 1, 16, 4, 4, 4, 12, 1, 16, 4, 5, 4, 4, 4, 16, 1, 5 (list; graph; listen)

	OFFSET	`1,6`
	REFERENCES	`See A003415`
	FORMULA	`a(n) = A003415(A000005(n))`
	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[dn[DivisorSigma[0, n]], {n, 150}]`
	CROSSREFS	`Cf. A003415 (arithmetic derivative of n).` `Sequence in context: A096622 A080905 A010685 this_sequence A050347 A126114 A074393` `Adjacent sequences: A099298 A099299 A099300 this_sequence A099302 A099303 A099304`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Oct 12 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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