

A073531


Number of ndigit positive integers with all distinct digits.


4



9, 81, 648, 4536, 27216, 136080, 544320, 1632960, 3265920, 3265920, 0, 0, 0
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OFFSET

1,1


COMMENTS

For any base b the number of distinctdigit numbers is finite. For base 10, the maximal distinctdigit number is 9876543210; for any larger number at least two digits coincide. The number of distinctdigit primes is also finite, see A073532.


LINKS

Table of n, a(n) for n=1..13.
Eric Weisstein's World of Mathematics, Digit


FORMULA

a(n) = 9*9!/(10n)!.


EXAMPLE

a(3)=648 because there are 648 threedigit integers with distinct digits.


MATHEMATICA

Table[9*9!/(10n)!, {n, 10}]


CROSSREFS

Cf. A073532.
Sequence in context: A213297 A206728 A206857 * A206694 A125910 A171283
Adjacent sequences: A073528 A073529 A073530 * A073532 A073533 A073534


KEYWORD

base,nonn


AUTHOR

Zak Seidov, Aug 29 2002


STATUS

approved



