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Search: id:A056825
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| A056825 |
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Numbers n such that no smaller natural number has the same maximal palindrome in the period of the simple continued fraction for its square root. |
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+0
2
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| 2, 3, 6, 7, 11, 13, 14, 18, 19, 21, 22, 23, 27, 28, 29, 31, 34, 38, 41, 43, 44, 45, 46, 47, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 66, 67, 69, 70, 71, 73, 76, 77, 79, 83, 85, 86, 88, 89, 91, 92, 93, 94, 97, 98, 102, 103, 106, 107, 109, 111, 113, 114, 115, 116, 118, 119
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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O. Perron, "Die Lehre von den Kettenbruechen, Bd.I", Teubner, 1954. (Sec. 26)
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LINKS
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L. Smiley, Initial Euler - Muir Polynomials
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EXAMPLE
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33,60, and 95 are not in the list because their square roots' simple continued fractions, [5,1,2,1,10,1,2,1,10,...],[7,1,2,1,14,...], and [9,1,2,1,18,...], have the same maximal palindrome in their periods as the square root of 14, [3,1,2,1,6,1,2,1,6,...] does.
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CROSSREFS
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Sequence in context: A102432 A024561 A113545 this_sequence A056956 A002256 A008765
Adjacent sequences: A056822 A056823 A056824 this_sequence A056826 A056827 A056828
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KEYWORD
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nonn
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AUTHOR
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Len Smiley (smiley(AT)math.uaa.alaska.edu), Aug 29 2000
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EXTENSIONS
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More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com), Nov 09 2001
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