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Search: id:A031286
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| A031286 |
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Additive persistence: number of summations of digits needed to obtain a single digit (the digital root). |
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+0
2
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2
(list; graph; listen)
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OFFSET
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0,20
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REFERENCES
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M. Gardner, Fractal Music, Hypercards and More Mathematical Recreations from Scientific American, Persistence of Numbers, pp. 120-1; 186-7, W. H. Freeman NY 1992
M. D. Diamond and D. D. Reidpath, A Counterexample to Conjectures by Sloane and Erdos Concerning the Persistence of Numbers, Journal of Recreational Mathematics, 29(2) 89-92 1998.
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LINKS
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N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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CROSSREFS
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Sequence in context: A060128 A031280 A134870 this_sequence A031276 A098744 A025429
Adjacent sequences: A031283 A031284 A031285 this_sequence A031287 A031288 A031289
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KEYWORD
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nonn,base
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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Corrected by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 05 2009
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