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Search: id:A113012
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| A113012 |
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Numerators of convergents to 1+2/(3+4/(5+6/7+...). |
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+0
3
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| 1, 5, 29, 233, 2329, 27949, 78257, 6260561, 112690097, 2253801941, 49583642701, 47600296993, 30940193045449, 866325405272573, 25989762158177189, 831672389061670049, 5655372245619356333, 1017967004211484139941
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Continued Fraction
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FORMULA
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a(n) = Numerator[Sum[(-1)^k*1/(2k)!!,{k,0,n}]]. - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 02 2006
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EXAMPLE
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1, 5/3, 29/19, 233/151, 2329/1511, ...
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MATHEMATICA
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Numerator[Table[Sum[(-1)^k*1/(2k)!!, {k, 0, n}], {n, 1, 25}]] - Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 02 2006
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CROSSREFS
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Cf. A113011, A113013.
Adjacent sequences: A113009 A113010 A113011 this_sequence A113013 A113014 A113015
Sequence in context: A094856 A057623 A087662 this_sequence A000354 A103815 A134752
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KEYWORD
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nonn,frac
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Oct 10, 2005
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