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Search: id:A075797
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| A075797 |
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Number of n-digit perfect powers with distinct digits. |
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+0
2
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| 4, 8, 18, 46, 76, 107, 126, 101, 84, 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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Of 1110 perfect powers < 1000000, 259 have distinct digits.
For large number of digits, the distinct-digit pp's consists of suprisingly 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).
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EXAMPLE
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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.
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CROSSREFS
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Cf. A001597.
Sequence in context: A008204 A080287 A075310 this_sequence A104137 A162362 A130887
Adjacent sequences: A075794 A075795 A075796 this_sequence A075798 A075799 A075800
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KEYWORD
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fini,full,nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Oct 13 2002
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