A360737 Analog of the Moser-Newman sum sequence A005599, but counting 0's (instead of 1's) in the binary representation of 3*n.

0, 1, 2, 1, 2, 3, 4, 3, 4, 3, 2, 1, 2, 3, 4, 3, 4, 5, 6, 7, 8, 9, 10, 9, 10, 9, 8, 7, 8, 9, 10, 9, 10, 9, 8, 7, 6, 5, 4, 3, 4, 3, 2, 1, 2, 3, 4, 3, 4, 5, 6, 7, 8, 9, 10, 9, 10, 9, 8, 7, 8, 9, 10, 9, 10, 11, 12, 13, 14, 15, 16, 17, 16, 17, 18, 19, 20, 21, 22

Offset

0,3

Links

Table of n, a(n) for n=0..78.

J. Shallit, Rarefied Thue-Morse sums via automata theory and logic, arXiv:2302.09436 [math.NT], February 18 2023.

Formula

a(n) = Sum_{i=0..n-1} (-1)^A080791(3*i).

Crossrefs

Cf. A005599, A080791.

Sequence in context: A214962 A350809 A366525 * A076258 A259576 A330636

Adjacent sequences: A360734 A360735 A360736 * A360738 A360739 A360740

Keyword

nonn

Author

Jeffrey Shallit, Feb 18 2023

Status

approved