Comments on A227736
Mikhail Kurkov
Tue Apr 13 06:02:04 EST 2021

T(n,k) = T(floor(n/2),k - floor((((n mod 4) mod 3)+1)/2)) for n > 3, k > 0 with T(2,1) = 1, T(n,0) = 1 + (1 - floor((((n mod 4) mod 3)+1)/2)) * T(floor(n/2),0) for n > 0 with T(0,0) = 1. In other words, T(4n,k) = T(2n,k), T(4n+1,k) = T(2n,k-1), T(4n+2,k) = T(2n+1,k-1), T(4n+3,k) = T(2n+1,k) for n > 0, k > 0 with T(2,1) = 1, T(4n,0) = T(2n,0) + 1 for n > 0 with T(0,0) = 1, T(4n+1,0) = T(4n+2,0) = 1 for n >= 0, T(4n+3,0) = T(2n+1,0) + 1 for n >= 0 (from the Example section).