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A323513 a(n) = 1 if n and phi(n) share the same prime signature, 0 otherwise. 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Characteristic function for A300216.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..100000

Index entries for characteristic functions

FORMULA

a(n) = [A046523(n) == A046523(A000010(n))], where [ ] is the Iverson bracket.

PROG

(PARI)

A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523.

A323513(n) = (A046523(n) == A046523(eulerphi(n)));

CROSSREFS

Cf. A000010, A046523, A277906, A300216.

Cf. also A318893.

Sequence in context: A016419 A016391 A016378 * A089805 A080116 A016359

Adjacent sequences:  A323510 A323511 A323512 * A323514 A323515 A323516

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 18 2019

STATUS

approved

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Last modified July 6 22:59 EDT 2020. Contains 335484 sequences. (Running on oeis4.)