A127242 Diagonal sums of Thue-Morse triangle A127241.
1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 4, 2, 3, 3, 2, 2, 4, 0, 1, 3, 1, 2, 3, 3, 3, 4, 3, 2, 5, 2, 5, 5, 5, 2, 4, 5, 2, 7, 3, 6, 5, 1, 7, 7, 3, 4, 5, 6, 4, 4, 4, 2, 9
Offset: 0
Formula
a(n)=sum{k=0..floor(n/2), A010060(binomial(k,n-2k))}