A356161 a(n) = 1 if the smallest positive k such that n divides k*A276086(k) is equal to n, otherwise 0, where A276086 is primorial base exp-function.

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

Offset

1

Links

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

Index entries for characteristic functions

Index entries for sequences related to primorial base

Formula

a(n) = [A355944(n) == n] = [A355945(n) == 0], where [ ] is the Iverson bracket.

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A356161(n) = for(k=1, oo, if((k*A276086(k))%n==0, return(n==k)));

Crossrefs

Characteristic function of A356160.

Cf. A276086, A324580, A355944, A355945.

Sequence in context: A089012 A083035 A359422 * A187074 A188398 A288929

Adjacent sequences: A356158 A356159 A356160 * A356162 A356163 A356164

Keyword

nonn

Author

Antti Karttunen, Jul 28 2022

Status

approved