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Search: id:A059457
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| A059457 |
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Numerator of sum(k=0,n,(-1)^k/(3k+1)). |
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+0
2
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| 1, 3, 25, 111, 1583, 5877, 118943, 1239213, 6500369, 6228669, 200696339, 3293919963, 125884243831, 122175729021, 5401896940303, 121054306890369, 868338554787383, 848589287072283, 867261322002923, 24637097377492167
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OFFSET
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0,2
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FORMULA
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sum(k>=0, (-1)^k/(3k+1)) = log(2)/3+Pi/3/sqrt(3)
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PROGRAM
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(PARI) a(n)=numerator(sum(k=0, n, (-1)^k/(3*k+1)))
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CROSSREFS
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For denominators see A051536.
Sequence in context: A114378 A075306 A124245 this_sequence A165206 A095664 A099868
Adjacent sequences: A059454 A059455 A059456 this_sequence A059458 A059459 A059460
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KEYWORD
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frac,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 19 2002
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Oct 25 2006
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