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A101878
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Expansion of -LambertW(LambertW(-x))/x.
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1
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1, 2, 10, 83, 976, 14957, 283732, 6433975, 170054416, 5139522809, 174971556244, 6629428776995, 276781652752216, 12628372294445221, 625247682269320156, 33391212230179659503, 1913456535998407683616, 117119224411257276521585
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..100
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FORMULA
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a(n) = Sum_{k=0..n} (k+1)^k*(n+1)^(n-k-1)*binomial(n, k).
a(n) ~ exp(1+exp(-1)+n*exp(-1)) / sqrt(1-exp(-1)) * n^(n-1). - Vaclav Kotesovec, Nov 27 2012
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MATHEMATICA
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nn = 20; CoefficientList[Series[-LambertW[LambertW[-x]]/x, {x, 0, nn}], x]* Range[0, nn]! (* Vaclav Kotesovec, Nov 27 2012 *)
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CROSSREFS
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Sequence in context: A003093 A006679 A050390 * A121194 A121516 A024491
Adjacent sequences: A101875 A101876 A101877 * A101879 A101880 A101881
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KEYWORD
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nonn,changed
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AUTHOR
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Vladeta Jovovic, Jan 27 2005
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STATUS
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approved
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