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Search: id:A138701
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| A138701 |
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Irregular array read by rows: row n contains the continued fraction terms (in order) for the absolute value of B_n, the nth Bernoulli number. |
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+0
4
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| 1, 0, 2, 0, 6, 0, 0, 30, 0, 0, 42, 0, 0, 30, 0, 0, 13, 5, 0, 0, 3, 1, 19, 3, 11, 0, 1, 6, 0, 7, 10, 1, 5, 1, 2, 2, 0, 54, 1, 33, 1, 2, 3, 2, 0, 529, 8, 20, 2, 0, 6192, 8, 8, 2, 0, 86580, 3, 1, 19, 3, 11, 0, 1425517, 6, 0, 27298231, 14, 1, 2, 1, 14, 0, 601580873, 1, 9, 15, 2, 7, 6, 0
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Row n, for all odd n >= 3, is (0).
The number of terms in row n is A138702(n).
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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)))). So row 12 is (0,3,1,19,3,11).
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MAPLE
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A138701row := proc(n) local B; B := abs(bernoulli(n)) ; numtheory[cfrac](B, 20, 'quotients') ; end: seq(op(A138701row(n)), n=0..80) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009]
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CROSSREFS
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Cf. A138702, A138703, A138704, A027641, A027642.
Sequence in context: A153059 A151336 A047918 this_sequence A050821 A076257 A162974
Adjacent sequences: A138698 A138699 A138700 this_sequence A138702 A138703 A138704
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KEYWORD
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nonn,tabf
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AUTHOR
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Leroy Quet, Mar 26 2008
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EXTENSIONS
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Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009
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