A269529 An analog of the Golay-Rudin-Shapiro sequence (A020985) in base -2 (see comments).

1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1

Offset

0

Comments

The sequence is defined by the formula: a(n) = 1 if A269027(n) = A269528(n), otherwise a(n) = -1.

Since A269027, A269528 are analogs of Thue-Morse sequence (A010060) and A268411 in base -2 correspondingly, then, by author's comment in A020985, the sequence is an analog of Golay-Rudin-Shapiro sequence in base -2.

Links

Peter J. C. Moses, Table of n, a(n) for n = 0..1999

Vladimir Shevelev, Two analogs of Thue-Morse sequence, arXiv:1603.04434 [math.NT], 2016.

Eric Weisstein's World of Mathematics, Negabinary

Crossrefs

Cf. A020985, A039724, A010060, A268411, A269027, A269528.

Sequence in context: A343785 A359738 A360710 * A325931 A156734 A119664

Adjacent sequences: A269526 A269527 A269528 * A269530 A269531 A269532

Keyword

sign,base

Author

Vladimir Shevelev, Feb 29 2016

Extensions

More terms from Peter J. C. Moses, Feb 29 2016

Status

approved