A127245 Row sums of a signed Thue-Morse related triangle.

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

Offset

0,1

Comments

0's occur at positions indexed by the odious numbers given by A091855.

Links

Table of n, a(n) for n=0..86.

Formula

a(n) = A127246(n) mod 2.

a(n) = Sum_{k=0..n} ((-1)^(n-k) * Product_{j=0..n-k-1} A010060(n-j)).

Mathematica

a[n_] := Mod[Sum[Product[ThueMorse[i], {i, k+1, n}], {k, 0, n}], 2]; Array[a, 100, 0] (* Amiram Eldar, Aug 04 2023 *)

Crossrefs

Row sums of A127244.

Cf. A000069, A010060, A091855, A127246.

Sequence in context: A260192 A057078 A204418 * A175192 A088150 A365938

Adjacent sequences: A127242 A127243 A127244 * A127246 A127247 A127248

Keyword

easy,nonn

Author

Paul Barry, Jan 10 2007

Extensions

More terms from Amiram Eldar, Aug 04 2023

Status

approved