A254379 - OEIS

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A254379

Characteristic function of the even odious numbers (A128309).

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

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OFFSET

COMMENTS

a(n) is also the characteristic function of A129771 (the odd evil numbers), offset by 1.

Cf. A228495 the characteristic function of the odd odious numbers (A092246).

The characteristic function of the odious numbers (A000069) is given by the Thue-Morse sequence (A010060).

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for characteristic functions.

FORMULA

a(n) = A059841(n)*A010060(n) = 1-A254651(n). - Antti Karttunen, Oct 01 2018

EXAMPLE