A358842 a(n) = 1 if A276086(n) is of the form 6k+5, where A276086 is the primorial base exp-function.

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

Offset

0

Comments

The XOR-formula involving A358755 corresponds to the XOR-formula given for A353489, which is based on the lemma given in A353516. A similar lemma exists for mod 6 case.

Links

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

Index entries for characteristic functions

Index entries for sequences related to primorial base

Formula

a(n) = [5 == A276086(n) mod 6], where [ ] is the Iverson bracket.

a(n) = A079979(n) - A358841(n) = A059841(n) - A120325(n) - A358841(n).

For all n >= 6, a(n) = a(n-6) XOR A358755(n), where XOR is bitwise-XOR, A003987.

Prog

(PARI) A358842(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (5==(m%6)); };

Crossrefs

Characteristic function of A358843.

Cf. A003987, A059841, A079979, A120325, A276086, A358755, A358840, A358841, A358846 [= a(6*n)].

Cf. also A353516, A353489.

Sequence in context: A023972 A185016 A103674 * A358758 A185708 A373256

Adjacent sequences: A358839 A358840 A358841 * A358843 A358844 A358845

Keyword

nonn

Author

Antti Karttunen, Dec 02 2022

Status

approved