A378598 Parity of A083206, where A083206 is the number of ways of partitioning the divisors of n into two disjoint sets with equal sum.

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

Offset

1

Links

Antti Karttunen, Table of n, a(n) for n = 1..108045

Index entries for characteristic functions

Formula

a(n) = A000035(A083206(n)).

A378449(n) <= a(n) <= A179527(n).

Prog

(PARI) A378598(n) = (A083206(n)%2);

Crossrefs

Characteristic function of A378599.

Cf. A000035, A083206, A179527, A378449.

Sequence in context: A025458 A378449 A286925 * A378540 A179527 A353528

Adjacent sequences: A378595 A378596 A378597 * A378599 A378600 A378601

Keyword

nonn

Author

Antti Karttunen, Dec 03 2024

Status

approved