A075797 Number of n-digit perfect powers with distinct digits.

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

Offset

1,1

Comments

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

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).

Links

Table of n, a(n) for n=1..11.

Example

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.

Crossrefs

Cf. A001597.

Sequence in context: A080287 A280155 A075310 * A351323 A104137 A308563

Adjacent sequences: A075794 A075795 A075796 * A075798 A075799 A075800

Keyword

fini,full,nonn,base

Author

Zak Seidov, Oct 13 2002

Status

approved