Search: id:A138703
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%I A138703
%S A138703 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,
%T A138703 1425523,0,27298263,0,601580913,0,15116315788,0,429614643067,0,
%U A138703 13711655205344,0,488332318973599,0,19296579341940107,0
%N A138703 a(n) = sum of the terms in the continued fraction of the absolute value 
               of B_n, the nth Bernoulli number.
%C A138703 For all odd n >=3, a(n) = 0.
%H A138703 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A138703 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.
%p A138703 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]
%Y A138703 Cf. A138701, A138702, A138706.
%Y A138703 Sequence in context: A131105 A057635 A139717 this_sequence A106458 A122685 
               A109581
%Y A138703 Adjacent sequences: A138700 A138701 A138702 this_sequence A138704 A138705 
               A138706
%K A138703 more,nonn
%O A138703 0,2
%A A138703 Leroy Quet Mar 26 2008
%E A138703 Extended beyond a(15) by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jul 20 2009

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