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Search: id:A138704
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| A138704 |
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Irregular array read by rows: row n contains the continued fraction terms (in order) for the absolute value of B_{2n}, the (2n)th Bernoulli number. |
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+0
4
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| 1, 0, 6, 0, 30, 0, 42, 0, 30, 0, 13, 5, 0, 3, 1, 19, 3, 11, 1, 6, 7, 10, 1, 5, 1, 2, 2, 54, 1, 33, 1, 2, 3, 2, 529, 8, 20, 2, 6192, 8, 8, 2, 86580, 3, 1, 19, 3, 11, 1425517, 6, 27298231, 14, 1, 2, 1, 14, 601580873, 1, 9, 15, 2, 7, 6, 15116315767, 10, 1, 5, 1, 2, 2, 429614643061, 6
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The number of terms in row n is A138705(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 6 is (0,3,1,19,3,11).
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MAPLE
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A138704row := proc(n) local B; B := abs(bernoulli(2*n)) ; numtheory[cfrac](B, 20, 'quotients') ; end: seq(op(A138704row(n)), n=0..20) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009]
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CROSSREFS
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Cf. A138701, A138705, A138706, A000367, A002445.
Sequence in context: A064381 A062254 A028849 this_sequence A005396 A056462 A047762
Adjacent sequences: A138701 A138702 A138703 this_sequence A138705 A138706 A138707
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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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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009
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