
EXAMPLE

a(1) = 2, since two 1digit numbers have the maximum number of divisors 4 = #{1, 2, 3, 6} = #{1, 2, 4, 8}.
a(2) = 5, since five 2digit numbers have the maximum number of divisors 12 = #{1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60} = #{1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72} = #{1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84} = #{1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90} = #{1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96}.
