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Search: id:A046043
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| A046043 |
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Autobiographical (or curious) numbers: n = x0 x1 x2...x9 such that xi is the number of digits equal to i in n. |
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+0
6
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| 1210, 2020, 21200, 3211000, 42101000, 521001000, 6210001000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Proof of completeness based on: x0 > 0; xi > 2 only if i = 0; for i > 2, xi = 1 if i = x0, xi = 0 otherwise.
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REFERENCES
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E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, Volume 59 (Jeux math'), April/June 2008, Paris.
Enumerated by David Castro (david_castro(AT)retek.com).
M. Gardner, Mathematical Circus, pp. 128; 135 Prob. 7 Alfred A. Knopf NY 1979.
Math. Mag., Vol. 66:4 (1993) p. 276.
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LINKS
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K. Uhland, The Ten-Digit Number [Broken link?]
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EXAMPLE
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n = 1210 has one 0, two 1's, one 2, and zero 3's, and n = "one two one zero".
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CROSSREFS
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Compare with the "Look-and-Say" version A047841.
Adjacent sequences: A046040 A046041 A046042 this_sequence A046044 A046045 A046046
Sequence in context: A133142 A068534 A135239 this_sequence A138480 A047627 A047626
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KEYWORD
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nonn,base,nice,fini,full
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AUTHOR
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Robert Leduc (leduc(AT)macalester.edu)
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