A036624 Number of 6-ary rooted trees with n nodes and height at most 7.

1, 1, 1, 2, 4, 9, 20, 48, 113, 275, 667, 1627, 3951, 9597, 23215, 56063, 134982, 324340, 777492, 1860365, 4442905, 10593324, 25217480, 59944219, 142295011, 337344737, 798769090, 1889131816, 4462891151, 10531873564, 24828302752