A335909 Parity of A323173: a(n) = A000035(A323173(n)).

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

Offset

1

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

a(n) = A053866(A122111(n)).

Prog

(PARI)
A053866(n) = if( n<1, 0, issquare(n) || issquare(2*n));
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)));
A335909(n) = A053866(A122111(n));

Crossrefs

Parity of A323173. Characteristic function of A336119.

Cf. A000035, A053866, A122111.

Cf. also A166486.

Sequence in context: A267853 A104338 A214330 * A266591 A372553 A359779

Adjacent sequences: A335906 A335907 A335908 * A335910 A335911 A335912

Keyword

nonn

Author

Antti Karttunen, Jul 07 2020

Status

approved