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Number of n-digit positive integers with maximum number of divisors A066150(n).
1

%I #14 Sep 04 2022 16:10:56

%S 2,5,1,2,2,5,1,6,4,5,1,1,2,1,2,3,7,2

%N Number of n-digit positive integers with maximum number of divisors A066150(n).

%e a(1) = 2, since two 1-digit numbers have the maximum number of divisors 4 = #{1, 2, 3, 6} = #{1, 2, 4, 8}.

%e a(2) = 5, since five 2-digit 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}.

%Y Cf. A066151, A069650, A240544.

%K nonn,base,more

%O 1,1

%A _Martin Renner_, Apr 07 2014

%E a(10)-a(12) from _Giovanni Resta_, Apr 08 2014

%E a(13)-a(18) from _Kevin P. Thompson_, Sep 04 2022