login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of n-digit perfect powers with distinct digits.
1

%I #8 Feb 24 2013 18:25:41

%S 4,8,18,46,76,107,126,101,84,0,0

%N Number of n-digit perfect powers with distinct digits.

%C Of 1110 perfect powers < 1000000, 259 have distinct digits.

%C For large number of digits, the distinct-digit pp's consists of surprisingly small part of all pp's (shown in brackets) 4(4), 8(8), 18(28), 46(84), 76(242), 107(744), 126(2284), 101(7096), 84(22179), 0(69561).

%e a(3)=18 because there are exactly 18 three-digit perfect powers: 125, 128, 169, 196, 216, 243, 256, 289, 324, 361, 512, 529, 576, 625, 729, 784, 841, 961.

%Y Cf. A001597.

%K fini,full,nonn,base

%O 1,1

%A _Zak Seidov_, Oct 13 2002