A331168 If A122111(n) <= n, then a(n) = 1, otherwise a(n) = 0.

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

Offset

1

Comments

f(n) = a(n) - A331169(n) is the characteristic function of A088902.

Links

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

Index entries for characteristic functions

Index entries for sequences computed from indices in prime factorization

Formula

For all n >= 1, a(A065091(n)) = 0, a(A088902(n)) = 1.

Prog

(PARI)
A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};
A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n)));
A331168(n) = (A122111(n)<=n);

Crossrefs

Cf. A088902, A122111, A331169.

Cf. also A331281.

Sequence in context: A267015 A078387 A189292 * A331281 A347950 A105470

Adjacent sequences: A331165 A331166 A331167 * A331169 A331170 A331171

Keyword

nonn

Author

Antti Karttunen, Jan 13 2020

Status

approved