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A300251 Möbius transform of arithmetic derivative (A003415). 8
0, 1, 1, 3, 1, 3, 1, 8, 5, 5, 1, 8, 1, 7, 6, 20, 1, 11, 1, 14, 8, 11, 1, 20, 9, 13, 21, 20, 1, 14, 1, 48, 12, 17, 10, 28, 1, 19, 14, 36, 1, 20, 1, 32, 26, 23, 1, 48, 13, 29, 18, 38, 1, 39, 14, 52, 20, 29, 1, 36, 1, 31, 36, 112, 16, 32, 1, 50, 24, 34, 1, 68, 1, 37, 38, 56, 16, 38, 1, 88, 81, 41, 1, 52, 20, 43, 30, 84, 1, 50 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

FORMULA

a(n) = Sum_{d|n} A008683(n/d)*A003415(d).

a(n) = A003415(n) - A300252(n).

PROG

(PARI)

A003415(n) = {my(fac); if(n<1, 0, fac=factor(n); sum(i=1, matsize(fac)[1], n*fac[i, 2]/fac[i, 1]))}; \\ From A003415

A300251(n) = sumdiv(n, d, moebius(n/d)*A003415(d));

CROSSREFS

Cf. A003415, A008683, A300245, A300252, A300253.

Sequence in context: A122410 A082495 A200476 * A016572 A072860 A068503

Adjacent sequences:  A300248 A300249 A300250 * A300252 A300253 A300254

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 08 2018

STATUS

approved

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Last modified April 24 16:06 EDT 2019. Contains 322430 sequences. (Running on oeis4.)