This site is supported by donations to The OEIS Foundation.

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A138703 a(n) = sum of the terms in the continued fraction of the absolute value of B_n, the n-th Bernoulli number. 4
 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, 841693047573684421, 0, 40338071854059455479, 0, 2115074863808199160579, 0, 120866265222965259346062, 0, 7500866746076964366855738 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS For all odd n >=3, a(n) = 0. LINKS EXAMPLE 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. MAPLE 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) ; # R. J. Mathar, Jul 20 2009 MATHEMATICA Table[ ContinuedFraction[ BernoulliB[n] // Abs] // Total, {n, 0, 50}] (* Jean-François Alcover, Mar 27 2013 *) CROSSREFS Cf. A138701, A138702, A138706. Sequence in context: A243015 A139717 A202535 * A106458 A213323 A122685 Adjacent sequences:  A138700 A138701 A138702 * A138704 A138705 A138706 KEYWORD nonn AUTHOR Leroy Quet, Mar 26 2008 EXTENSIONS Extended beyond a(15) by R. J. Mathar, Jul 20 2009 More terms from Jean-François Alcover, Mar 27 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.