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A013703
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Series(W(exp(1)*(1+x)), x) = sum( a[ n ]/(2^(2*n)*n!), n=0..infinity), where W is the Lambert W function.
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1
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1, 2, -6, 38, -370, 4874, -81046, 1628710, -38393538, 1038795658, -31730277062, 1080038539942, -40538501660306, 1663428036271754, -74080097240364918, 3558651343664651174, -183423140013051563746, 10097324775041880827402
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| E.g.f.: LambertW(exp(1)*(1+4*x)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 19 2003
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EXAMPLE
| 1+1/2*x-3/16*x^2+19/192*x^3-185/3072*x^4+...
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MAPLE
| LambertW( exp(1)*(1+x) );
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CROSSREFS
| Twice row sums of A042977.
Sequence in context: A068184 A067106 A032111 * A002031 A184731 A005738
Adjacent sequences: A013700 A013701 A013702 * A013704 A013705 A013706
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KEYWORD
| sign
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AUTHOR
| rmc(AT)pineapple.apmaths.uwo.ca (Robert Corless)
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EXTENSIONS
| More terms from N. J. A. Sloane (njas(AT)research.att.com).
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