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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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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| 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
| 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
| 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
| Cf. A014824.
Sequence in context: A157832 A200486 A195718 * A021068 A091873 A038690
Adjacent sequences: A060008 A060009 A060010 * A060012 A060013 A060014
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KEYWORD
| nonn,base
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Mar 15 2001
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EXTENSIONS
| Corrected by Martin Renner (martin.renner(AT)gmx.net), Apr 15 2007
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