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A008827
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Coefficients from fractional iteration of e^x -1.
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1
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3, 13, 50, 201, 875, 4138, 21145, 115973, 678568, 4213595, 27644435, 190899320, 1382958543, 10480142145, 82864869802, 682076806157, 5832742205055, 51724158235370, 474869816156749, 4506715738447321, 44152005855084344, 445958869294805287, 4638590332229999351
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,1
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 148.
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MAPLE
| [seq(bell(n+1)-2, n=2..31)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 29 2006
a:=n->(sum((j+1)*stirling2(n, j), j=2..n)): seq(a(n), n=2..21); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 18 2007
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MATHEMATICA
| Table[BellB[n] - 2, {n, 3, 40}] (* From Vladimir Joseph Stephan Orlovsky, Jul 06 2011 *)
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PROG
| (PARI) a(n)=sum(j=2, n--, (j+1)*stirling(n, j, 2)) \\ Charles R Greathouse IV, Jul 06 2011
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CROSSREFS
| Cf. A008826.
Equals Bell(n) - 2 = A000110(n) - 2.
Sequence in context: A113237 A196907 A116427 * A026529 A101052 A016064
Adjacent sequences: A008824 A008825 A008826 * A008828 A008829 A008830
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2004
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