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Search: id:A138706
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| A138706 |
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a(n) = sum of the terms in the continued fraction expansion of the absolute value of B_{2n}, the (2n)th Bernoulli number. |
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+0
4
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| 1, 6, 30, 42, 30, 18, 37, 7, 28, 96, 559, 6210, 86617, 1425523, 27298263, 601580913, 15116315788, 429614643067, 13711655205344, 488332318973599, 19296579341940107, 841693047573684421, 40338071854059455479
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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FORMULA
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a(n)=A138703(2*n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009]
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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 a(6) = 0+3+1+19+3+11 = 37.
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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: A138706 := proc(n) add(c, c=A138704row(n)) ; end: seq(op(A138706(n)), n=0..30) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009]
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CROSSREFS
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Cf. A138703, A138704, A138705.
Sequence in context: A062268 A067879 A136375 this_sequence A002445 A027762 A151711
Adjacent sequences: A138703 A138704 A138705 this_sequence A138707 A138708 A138709
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Mar 26 2008
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EXTENSIONS
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Extended beyond a(7) by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009
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