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Search: id:A060011
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| A060011 |
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Schizophrenic sequence: these are the repeating digits in the decimal expansion of sqrt(f(2n+1)), where f(m) = A014824(m). |
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2
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| 1, 5, 6, 2, 4, 9, 6, 3, 9, 2, 1, 3, 7, 5, 9, 9, 9, 9, 6, 3, 9, 3, 6, 9, 9, 9, 9, 2, 1, 3, 4, 8, 9, 3, 6, 9, 7, 8, 6, 2, 4, 9, 9
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The repeating strings that form the sequence 1 5 6 2 4 9 6 3 9... become progressively smaller and the irregular strings increase, until eventually the repeating strings disappear. With larger odd values of n however, the demise of the repeating digits slows down.
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REFERENCES
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C. A. Pickover, Wonders of Numbers, Oxford University Press, NY, 2001. p. 210-211.
J. Earls, Mathematical Bliss, Pleroma Publications, 2009, pages 29-36. ASIN: B002ACVZ6O [From Jason Earls (zevi_35711(AT)yahoo.com), Nov 22 2009]
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LINKS
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C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review
K. S. Brown, Mock-rational numbers.
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FORMULA
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sqrt(f(n)) where f(n) = 10 * f(n-1) + n, for odd integers n. 1 5 6 2 4 9 6 3 9 2 are the repeating digits that alternate with random looking strings.
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CROSSREFS
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Cf. A014824.
Sequence in context: A113106 A171273 A157832 this_sequence A021068 A091873 A038690
Adjacent sequences: A060008 A060009 A060010 this_sequence A060012 A060013 A060014
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KEYWORD
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nonn,base
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Mar 15 2001
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EXTENSIONS
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Corrected by Martin Renner (martin.renner(AT)gmx.net), Apr 15 2007
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