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A300236 Möbius transform of A032742 (the largest proper divisor of n). 7
1, 0, 0, 1, 0, 2, 0, 2, 2, 4, 0, 2, 0, 6, 4, 4, 0, 4, 0, 4, 6, 10, 0, 4, 4, 12, 6, 6, 0, 4, 0, 8, 10, 16, 6, 6, 0, 18, 12, 8, 0, 6, 0, 10, 8, 22, 0, 8, 6, 16, 16, 12, 0, 12, 10, 12, 18, 28, 0, 8, 0, 30, 12, 16, 12, 10, 0, 16, 22, 18, 0, 12, 0, 36, 16, 18, 10, 12, 0, 16, 18, 40, 0, 12, 16, 42, 28, 20, 0, 16, 12, 22, 30, 46, 18, 16, 0, 36 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

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

FORMULA

a(n) = Sum_{d|n} A008683(n/d)*A032742(d).

MATHEMATICA

Table[DivisorSum[n, # MoebiusMu[n/#]/FactorInteger[#][[1, 1]] &], {n, 98}] (* Michael De Vlieger, Mar 10 2018 *)

PROG

(PARI)

A032742(n) = if(1==n, n, n/vecmin(factor(n)[, 1]));

A300236(n) = sumdiv(n, d, moebius(n/d)*A032742(d));

CROSSREFS

Cf. A008683, A032742, A300239.

Sequence in context: A035663 A117192 A078729 * A238158 A029906 A094907

Adjacent sequences:  A300233 A300234 A300235 * A300237 A300238 A300239

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 10 2018

STATUS

approved

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Last modified July 25 09:49 EDT 2021. Contains 346289 sequences. (Running on oeis4.)