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Search: id:A057846
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| A057846 |
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Sort the digits of n into alphabetical order (the "Obsessive Filer's Sequence"). |
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+0
5
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 41, 51, 16, 17, 81, 91, 20, 12, 22, 32, 42, 52, 62, 72, 82, 92, 30, 13, 32, 33, 43, 53, 63, 73, 83, 93, 40, 41, 42, 43, 44, 54, 46, 47, 84, 49, 50, 51, 52, 53, 54, 55, 56, 57, 85, 59, 60, 16, 62, 63, 46, 56, 66, 67, 68, 69, 70, 17, 72, 73, 47, 57, 76, 77, 87
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The digits of each number n are put into alphabetical order. Base 10 and English are used here. This means a given term's digits must be in this order: 8, 5, 4, 9, 1, 7, 6, 3, 2, 0. It's easy to see that any n-digit term with distinct digits, none zero, occurs exactly n! times in this sequence.
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REFERENCES
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M. J. Halm, Sequences (Re)discovered, Mpossibilities 81 (Aug. 2002), p. 1.
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EXAMPLE
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a(14)=41 because the digits of 14, 1 (one) and 4 (four), are in alphabetical order when arranged as 4, then 1, so 41.
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CROSSREFS
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Cf. A072809.
Sequence in context: A032948 A132031 A072763 this_sequence A055647 A043318 A044915
Adjacent sequences: A057843 A057844 A057845 this_sequence A057847 A057848 A057849
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KEYWORD
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base,nonn,word
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 23 2002
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 31 2006
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