A373834 a(n) = 1 if n is a multiple of A276150(n), otherwise 0, where A276150 is the digit sum in the primorial base.

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

Offset

0

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

For n >= 1, a(n) = [A373832(n) = 0], where [ ] is the Iverson bracket.

a(n) = A373851(A276086(n)).

Example

a(0) = 1 because 0 is a multiple of A276150(0) = 0.
a(120) = 1 because 120 s a multiple of A276150(120) = 4.

Prog

(PARI)
A276150(n) = { my(s=0, p=2, d); while(n, d = (n%p); s += d; n = (n-d)/p; p = nextprime(1+p)); (s); };
A373834(n) = if(!n, 1, !(n%A276150(n)));

Crossrefs

After the initial a(0)=1, characteristic function of A333426, primorial base Niven (or harshad) numbers: numbers divisible by their sum of digits in primorial base (A276150).

Cf. A276086, A373832, A373833, A373851.

Sequence in context: A266591 A372553 A359779 * A132194 A354034 A174897

Adjacent sequences: A373831 A373832 A373833 * A373835 A373836 A373837

Keyword

nonn,new

Author

Antti Karttunen, Jun 19 2024

Status

approved