A383298 a(n) = 1 if A276086(n) is a multiple of A276086(A003415(n)), otherwise 0, where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function.

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

Offset

0

Links

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for characteristic functions.

Index entries for sequences related to primorial base.

Prog

(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A383298(n) = !(A276086(n)%A276086(A003415(n)));

Crossrefs

Characteristic function of A383299.

Cf. A003415, A276086, A327859.

Sequence in context: A176178 A267778 A380372 * A379952 A285384 A165728

Adjacent sequences: A383295 A383296 A383297 * A383299 A383300 A383301

Keyword

nonn

Author

Antti Karttunen, May 15 2025

Status

approved