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Search: id:A128270
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| A128270 |
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a(n) = the numerator of b(n): {b(n)} is such that the continued fraction (of rational terms) [b(1);b(2),...,b(n)] equals the n-th prime, for every positive integer n. |
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+0
2
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| 2, 1, -3, 4, -3, 12, -3, 48, -3, 320, -3, 512, -135, 256, -243, 5120, -243, 8192, -27, 5120, -27, 2048, -135, 5120, -1701, 8192, -2187, 4096, -2187, 1024, -6561, 1792, -1215, 25088, -243, 62720, -27, 313600, -27, 1568000, -243, 2508800, -243, 6272000
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Diana Mecum, Table of n, a(n) for n = 1..500
Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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b(n): 2, 1, -3/2, 4, -3/4, 12, -3/16,...
The 4th prime, 7, equals [b(1);b(2),b(3),b(4)] = 2 +1/(1 +1/(-3/2 +1/4)).
The 5th prime, 11, equals [b(1);b(2),b(3),b(4),b(5)] = 2 +1/(1 +1/(-3/2 +1/(4 -4/3))).
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CROSSREFS
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Cf. A128271.
Sequence in context: A077608 A002124 A097564 this_sequence A151550 A097003 A109447
Adjacent sequences: A128267 A128268 A128269 this_sequence A128271 A128272 A128273
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KEYWORD
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frac,sign
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AUTHOR
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Leroy Quet Feb 22 2007
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EXTENSIONS
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More terms from Diana Mecum (diana.mecum(AT)gmail.com), Jun 24 2007
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