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Search: id:A033540
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A033540 a(n+1)=n*(a(n)+1). +0
3
1, 2, 6, 21, 88, 445, 2676, 18739, 149920, 1349289, 13492900, 148421911, 1781062944, 23153818285, 324153456004, 4862301840075, 77796829441216, 1322546100500689, 23805829809012420, 452310766371235999 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=n!*(1+1/0!+1/1!+...+1/(n-1)!) [ Jon Bentley, jlb(AT)research.bell-labs.com ]

For n>=1, a(n+1)=floor((1+e)*n!)-1. - Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 07 2002

a(n) = n! + A007526(n). E.g.f.: (1+x*exp(x))/(1-x). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 02 2003

CROSSREFS

Adjacent sequences: A033537 A033538 A033539 this_sequence A033541 A033542 A033543

Sequence in context: A099947 A121726 A090805 this_sequence A115089 A001928 A005638

KEYWORD

nonn,easy

AUTHOR

Antti Karttunen

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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