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Revision History for A258646

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A258646

Sixth arithmetic derivative of n.
(history; published version)

#4 by Alois P. Heinz at Sun Jun 07 07:26:52 EDT 2015

STATUS

editing

approved

#3 by Alois P. Heinz at Sun Jun 07 07:26:46 EDT 2015

LINKS

Alois P. Heinz, <a href="/A258646/b258646.txt">Table of n, a(n) for n = 0..10000</a>

MAPLE

d:= n-> n*add(i[2]/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, 6):

seq(a(n), n=0..70);

#2 by Alois P. Heinz at Sat Jun 06 19:32:27 EDT 2015

NAME

allocated for Alois P. Heinz

Sixth arithmetic derivative of n.

DATA

0, 0, 0, 0, 4, 0, 0, 0, 368, 0, 0, 0, 752, 0, 0, 176, 1520, 0, 0, 0, 608, 0, 0, 0, 1552, 0, 80, 27, 1520, 0, 0, 0, 3424, 0, 0, 368, 1312, 0, 0, 752, 288, 0, 0, 0, 3120, 368, 0, 0, 8144, 0, 176, 240, 1312, 0, 2484, 752, 3312, 0, 0, 0, 3312, 0, 1, 112, 245760, 0

OFFSET

0,5

FORMULA

a(n) = A003415^6(n).

CROSSREFS

Column k=6 of A258651.

Cf. A003415.

KEYWORD

allocated

nonn

AUTHOR

Alois P. Heinz, Jun 06 2015

STATUS

approved

editing

#1 by Alois P. Heinz at Sat Jun 06 18:16:04 EDT 2015

NAME

allocated for Alois P. Heinz

KEYWORD

allocated

STATUS

approved