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A067273 a(n)=n*(a(n-1)*2+1), a(0)=0. +0
2
0, 1, 6, 39, 316, 3165, 37986, 531811, 8508984, 153161721, 3063234430, 67391157471, 1617387779316, 42052082262229, 1177458303342426, 35323749100272795, 1130359971208729456, 38432239021096801521 (list; graph; listen)
OFFSET

0,3

FORMULA

E.g.f.: x*exp(x)/(1-2*x). a(n) = n!*Sum_{k=1..n} 2^(k-1)/(n-k)! = n*A010844(n-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 09 2003

MATHEMATICA

s=1; lst={}; Do[s+=(s*=n)-n; AppendTo[lst, Abs[s]], {n, 0, 5!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008]

CROSSREFS

Cf. A007526.

Sequence in context: A103194 A009018 A135890 this_sequence A137972 A007322 A058191

Adjacent sequences: A067270 A067271 A067272 this_sequence A067274 A067275 A067276

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 21 2002

EXTENSIONS

More terms and Mathematica program Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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