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Search: id:A073531
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| A073531 |
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Number of n-digit integers with all distinct digits. |
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+0
4
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| 9, 81, 648, 4536, 27216, 136080, 544320, 1632960, 3265920, 3265920, 0, 0, 0
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For any base b the number of distinct-digit numbers is finite. For base 10, the maximal distinct-digit number is 9876543210; for any larger number at least two digits coincide. The number of distinct-digit primes is also finite, see A073532.
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LINKS
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Eric Weisstein's World of Mathematics, Digit
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FORMULA
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a(n) = 9*9!/(10-n)!.
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EXAMPLE
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a(3)=648 because there are 648 three-digit integers with distinct digits.
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MATHEMATICA
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9 9!/(10-n)!
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CROSSREFS
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Cf. A073532.
Sequence in context: A044260 A016946 A063824 this_sequence A125910 A125947 A120997
Adjacent sequences: A073528 A073529 A073530 this_sequence A073532 A073533 A073534
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KEYWORD
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base,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Aug 29 2002
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