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A046043
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Autobiographical numbers (or curious numbers): numbers n = x0 x1 x2...x9 such that xi is the number of digits equal to i in n.
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5
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OFFSET
| 1,1
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COMMENTS
| 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
| 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.
Tanya Khovanova, A Story of Storytelling Numbers, Math. Horizons, Sep 2009, 14-17.
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LINKS
| Fred Gavin, Letters to the editor, Math. Mag 66 (4) (1993) p 276.
Tanya Khovanova, Autobiographical Numbers, arXiv:0803.0270
K. Uhland, The Ten-Digit Number [Broken link?]
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EXAMPLE
| 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
| Cf. A138480 (another version).
Compare with the "Look-and-Say" version A047841.
Sequence in context: A187862 A186864 A135239 * A138480 A047627 A047626
Adjacent sequences: A046040 A046041 A046042 * A046044 A046045 A046046
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KEYWORD
| nonn,base,nice,fini,full
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AUTHOR
| Robert Leduc (leduc(AT)macalester.edu)
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