A222415 a(n) = max{A222416(q): q in P(n)}, where P(n) is the set of integers defined in Defn. 2.6 of Nussbaum and Verduyn Lunel (2003).

1, 2, 3, 4, 5, 7, 7, 11, 11, 13, 13, 16, 16, 18, 18, 26, 26, 26, 26, 31, 31, 32, 32, 35, 35, 37, 43, 43, 43, 47, 47, 58, 58, 59, 59, 60, 60, 61, 64, 64, 66, 66, 66, 70, 71, 71, 72, 75, 75, 75, 77, 79, 79, 84, 84, 84, 84, 84, 85, 87, 88, 89, 90, 122, 122, 127, 127, 131, 131, 131, 131, 131, 131, 131, 131, 133, 134, 144, 144, 146