A151677 a(n) = sum_{k >= 0} binomial(3*wt(n+k),k), where wt() = A000120().

2, 3, 4, 6, 11, 3, 6, 10, 11, 19, 6, 6, 11, 8, 14, 15, 11, 19, 15, 26, 36, 3, 6, 10, 11, 19, 8, 12, 21, 19, 33, 21, 11, 19, 15, 26, 36, 19, 33, 32, 49, 76, 8, 6, 11, 8, 14, 15, 11, 19, 15, 26, 36, 8, 14, 17, 23, 40, 16, 26, 38, 42, 73, 28, 11, 19, 15, 26, 36, 19, 33, 32, 49, 76, 17, 26, 38