A336356 - OEIS

A336356

Characteristic function of A336359, numbers k for which A001222(A000203(k)) < A001222(k).

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

COMMENTS

If a(x) = a(y) = 1 and gcd(x,y) = 1, then a(x*y) = 1 also. If a(x) = a(y) = 0 and gcd(x,y) = 1, then a(x*y) = 0 also. This follows because both A001222 and A058063 are additive sequences, their difference A336386 is also.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for characteristic functions

Index entries for sequences related to sigma(n)

FORMULA

a(n) = 1 if A058063(n) < A001222(n), otherwise 0.

a(A336359(n)) = 1; a(A336360(n)) = 0, for all n >= 1.

PROG

(PARI) A336356(n) = (bigomega(sigma(n))<bigomega(n));

CROSSREFS

Cf. A000203, A001222, A058063, A336359, A336360, A336386.

Cf. also A336352, A336355.