A360109 - OEIS

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A360109

a(n) = 1 if n is not multiple of 4, but its arithmetic derivative is, otherwise 0.

7

0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1

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OFFSET

0

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..100000

Index entries for characteristic functions

FORMULA

a(n) = A166486(n) * A353494(n).

PROG

(PARI)

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

A360109(n) = ((n%4)&&(0==(A003415(n)%4)));

CROSSREFS

Characteristic function of A360110.

Cf. A003415, A166486, A353494, A359828.

After n=1 differs from A327932 for the first time at n=158, where a(158) = 0, while A327932(158) = 1.

Sequence in context: A326168 A033683 A216284 * A355452 A130638 A030217

Adjacent sequences: A360106 A360107 A360108 * A360110 A360111 A360112

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 31 2023

STATUS

approved