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Search: id:A138702
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| A138702 |
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a(n) = number of terms in the continued fraction of the absolute value of B_n, the nth Bernoulli number. |
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+0
3
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| 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 6, 1, 2, 1
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The continued fraction terms being counted include the initial 0, if there is one. (a(n), for all odd n >= 3, is 1.)
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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The 12th Bernoulli number is -691/2730. Now 691/2730 has the continued fraction 0 + 1/(3 + 1/(1 + 1/(19 + 1/(3 + 1/11)))), which has 6 terms (including the zero). So a(12) = 6.
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CROSSREFS
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Cf. A138701, A138703.
Sequence in context: A078614 A026607 A052005 this_sequence A144462 A112104 A059426
Adjacent sequences: A138699 A138700 A138701 this_sequence A138703 A138704 A138705
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KEYWORD
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more,nonn
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AUTHOR
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Leroy Quet Mar 26 2008
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