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A038159
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a(n) = n*a(n-1) + 1, a(0) = 2.
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3
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2, 3, 7, 22, 89, 446, 2677, 18740, 149921, 1349290, 13492901, 148421912, 1781062945, 23153818286, 324153456005, 4862301840076, 77796829441217, 1322546100500690, 23805829809012421, 452310766371236000, 9046215327424720001, 189970521875919120022
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| n!*(1+Sum(1/k!, k=0..n)).
E.g.f.: (1+exp(x))/(1-x).
a(n) = floor(n!*(e+1)), n>0 [From Gary Detlefs (gdetlefs(AT)aol.com), Jul 18 2010]
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MATHEMATICA
| s=3; lst={2, s}; Do[s+=s++n; AppendTo[lst, Abs[s]], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 23 2008]
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CROSSREFS
| A038159(n) = A000522(n) + n!.
A033540(n+1) + 1.
Sequence in context: A010738 A114599 A094062 * A077210 A151908 A072214
Adjacent sequences: A038156 A038157 A038158 * A038160 A038161 A038162
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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
| Comments from Michael Somos
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