A373836 a(n) = 1 if bigomega(n) and A276085(n) are both multiples of 3, otherwise 0, where bigomega (A001222) and A276085 are fully additive with a(p) = 1 and a(p) = p#/p respectively.

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

Offset

1

Links

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

Index entries for characteristic functions

Formula

a(n) = A079978(A373835(n)).

Prog

(PARI)
A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1, primepi(f[k, 1]-1), prime(i))); };
A373836(n) = !(gcd(bigomega(n), A276085(n))%3);

Crossrefs

Characteristic function of A373837.

Cf. A001222, A079978, A276085, A373835.

Sequence in context: A373483 A373372 A373143 * A015626 A015920 A014744

Adjacent sequences: A373833 A373834 A373835 * A373837 A373838 A373839

Keyword

nonn,new

Author

Antti Karttunen, Jun 19 2024

Status

approved