A342014 - OEIS

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A342014

Arithmetic derivative of n, taken modulo n: a(n) = A003415(n) mod n.

8

0, 1, 1, 0, 1, 5, 1, 4, 6, 7, 1, 4, 1, 9, 8, 0, 1, 3, 1, 4, 10, 13, 1, 20, 10, 15, 0, 4, 1, 1, 1, 16, 14, 19, 12, 24, 1, 21, 16, 28, 1, 41, 1, 4, 39, 25, 1, 16, 14, 45, 20, 4, 1, 27, 16, 36, 22, 31, 1, 32, 1, 33, 51, 0, 18, 61, 1, 4, 26, 59, 1, 12, 1, 39, 55, 4, 18, 71, 1, 16, 27, 43, 1, 40, 22, 45, 32, 52, 1, 33

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

FORMULA

a(n) = A003415(n) mod n.

PROG

(PARI)

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

A342014(n) = (A003415(n)%n);

CROSSREFS

Cf. A003415, A072873 (positions of zeros), A085731 [= gcd(n, a(n))], A342015 [= A342014(A276086(n))].

Sequence in context: A216157 A216851 A179290 * A355953 A167864 A232809

Adjacent sequences: A342011 A342012 A342013 * A342015 A342016 A342017

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 04 2021

STATUS

approved