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Search: id:A128271
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| A128271 |
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a(n) = the denominator 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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| 1, 1, 2, 1, 4, 1, 16, 1, 64, 3, 32, 27, 256, 27, 1024, 243, 1024, 243, 512, 27, 1024, 27, 1024, 243, 8192, 243, 16384, 243, 4096, 243, 7168, 81, 12544, 243, 15680, 27, 39200, 27, 62720, 243, 313600, 243, 1568000, 27, 31360000, 27, 17920000, 27, 31360000, 27
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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Diana Mecum, Table of n, a(n) for n = 1..500
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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. A128270.
Sequence in context: A038001 A104620 A024539 this_sequence A092891 A080212 A009832
Adjacent sequences: A128268 A128269 A128270 this_sequence A128272 A128273 A128274
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KEYWORD
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frac,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), 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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