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A341625 a(n) = 1 if the arithmetic derivative of n is less than n, otherwise 0. 2
0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65539

Index entries for characteristic functions

FORMULA

a(n) = 1 if A003415(n) < n, otherwise 0.

a(n) = [A168036(n) < 0].

For all >= 1, a(n) >= A080339(n).

PROG

(PARI)

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

A341625(n) = (A003415(n) < n);

CROSSREFS

Characteristic function of A083347.

Cf. A003415, A080339, A168036.

Sequence in context: A098725 A284939 A188260 * A166486 A046978 A075553

Adjacent sequences:  A341622 A341623 A341624 * A341626 A341627 A341628

KEYWORD

nonn

AUTHOR

Antti Karttunen, Feb 28 2021

STATUS

approved

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Last modified April 18 03:59 EDT 2021. Contains 343072 sequences. (Running on oeis4.)