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Search: id:A008405
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| A008405 |
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n-th derivative of x^(1/x) at x=1. |
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+0
1
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| 1, 1, -2, 3, 4, -90, 786, -5670, 34784, -136584, -824760, 33137280, -633666648, 10089623544, -145675230960, 1910939579640, -21215723677440, 136130901474240, 2280768466608576, -135531682778927808, 4380044490023909760
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = Sum_{k=0..n} Stirling1(n, k)*A003725(k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 02 2003
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MATHEMATICA
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Function[ n, Series[ (1+x)^(1/(1+x)), {x, 0, n} ]//(Table[ SeriesCoefficient[ #, i ]*i!, {i, 0, n} ])& ][ 20 ]
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CROSSREFS
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Adjacent sequences: A008402 A008403 A008404 this_sequence A008406 A008407 A008408
Sequence in context: A142959 A037395 A009496 this_sequence A037431 A085935 A100981
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KEYWORD
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sign
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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