A373832 a(n) = n mod A276150(n), where A276150 is the digit sum in the primorial base.

0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 3, 0, 1, 2, 3, 0, 2, 0, 3, 0, 1, 2, 5, 0, 0, 1, 3, 4, 1, 0, 1, 0, 0, 1, 3, 0, 1, 2, 3, 0, 1, 0, 3, 0, 0, 1, 5, 0, 4, 0, 3, 4, 4, 4, 1, 2, 1, 2, 3, 0, 1, 2, 3, 0, 0, 0, 3, 0, 4, 0, 5, 0, 3, 4, 3, 4, 0, 3, 1, 2, 4, 5, 3, 0, 1, 2, 7, 0, 8, 0, 3, 0, 3, 4, 5, 0, 2, 3, 3, 4, 3, 2, 1, 2, 0

Offset

1,5

Links

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

Index entries for sequences related to primorial base

Formula

a(n) = A373850(A276086(n)).

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); };
A373832(n) = (n % A276150(n));

Crossrefs

Cf. A276086, A276150, A333426 (positions of 0's), A373833, A373834, A373850.

Sequence in context: A078979 A063974 A144628 * A286604 A366784 A217540

Adjacent sequences: A373829 A373830 A373831 * A373833 A373834 A373835

Keyword

nonn,base

Author

Antti Karttunen, Jun 19 2024

Status

approved