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A190121 Partial sums of the arithmetic derivative function A003415. 0
0, 1, 2, 6, 7, 12, 13, 25, 31, 38, 39, 55, 56, 65, 73, 105, 106, 127, 128, 152, 162, 175, 176, 220, 230, 245, 272, 304, 305, 336, 337, 417, 431, 450, 462, 522, 523, 544, 560, 628, 629, 670, 671, 719, 758, 783, 784, 896, 910, 955, 975, 1031, 1032, 1113, 1129 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

1'+2'+3'+4'+5'=0+1+1+4+1=7->a(5)=7

MAPLE

der:=n->n*add(op(2, p)/op(1, p), p=ifactors(n)[2]):

seq(add(der(i), i=1..j), j=1..100);

CROSSREFS

Cf. A003415.

Sequence in context: A217575 A172154 A072147 * A105329 A124319 A078471

Adjacent sequences:  A190118 A190119 A190120 * A190122 A190123 A190124

KEYWORD

nonn

AUTHOR

Giorgio Balzarotti, May 04 2011

STATUS

approved

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Last modified May 21 08:52 EDT 2013. Contains 225478 sequences.