A127238 Diagonal sums of Thue-Morse binomial triangle A127236.
1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 6, 4, 4, 5, 4, 3, 4, 3, 6, 8, 6, 6, 6, 9, 10, 8, 8, 12, 7, 7, 7, 7, 7, 6, 8, 13, 12, 8, 7, 12, 8, 13, 14, 12, 15, 13, 12, 12, 13, 14, 13, 12, 15, 12, 12, 12, 15, 14, 17, 17, 22, 17, 22, 14, 15
Offset: 0
Formula
a(n)=sum{k=0..floor(n/2), A010060(binomial(n-k,k))}