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

Offset

1

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.

Sequence in context: A160351 A268340 A355453 * A319988 A023969 A060039

Adjacent sequences: A336353 A336354 A336355 * A336357 A336358 A336359

Keyword

nonn

Author

Antti Karttunen, Jul 20 2020

Status

approved