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Search: id:A138703
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| A138703 |
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a(n) = sum of the terms in the continued fraction of the absolute value of B_n, the nth Bernoulli number. |
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+0
4
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| 1, 2, 6, 0, 30, 0, 42, 0, 30, 0, 18, 0, 37, 0, 7, 0, 28, 0, 96, 0, 559, 0, 6210, 0, 86617, 0, 1425523, 0, 27298263, 0, 601580913, 0, 15116315788, 0, 429614643067, 0, 13711655205344, 0, 488332318973599, 0, 19296579341940107, 0
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For all odd n >=3, a(n) = 0.
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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 = the continued fraction 0 + 1/(3 + 1/(1 + 1/(19 + 1/(3 + 1/11)))). So a(12) = 0+3+1+19+3+11 = 37.
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MAPLE
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A138701row := proc(n) local B; B := abs(bernoulli(n)) ; numtheory[cfrac](B, 20, 'quotients') ; end: A138703 := proc(n) add(c, c=A138701row(n)) ; end: seq(op(A138703(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. A138701, A138702, A138706.
Sequence in context: A131105 A057635 A139717 this_sequence A106458 A122685 A109581
Adjacent sequences: A138700 A138701 A138702 this_sequence A138704 A138705 A138706
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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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EXTENSIONS
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Extended beyond a(15) by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009
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