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Search: id:A006152
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| A006152 |
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Exponential generating function x*exp(x/(1-x)).
(Formerly M1939)
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+0
1
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| 1, 2, 9, 52, 365, 3006, 28357, 301064, 3549177, 45965530, 648352001, 9888877692, 162112109029, 2841669616982, 53025262866045, 1049180850990736, 21937381717388657, 483239096122434354, 11184035897992673017
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Getu, S.; Shapiro, L. W.; Combinatorial view of the composition of functions. Ars Combin. 10 (1980), 131-145.
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LINKS
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INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 156
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PROGRAM
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(PARI) a(n)=n!*polcoeff(x*exp(x/(1-x)+O(x^n)), n)
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CROSSREFS
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A006152(n)=n*A000262(n-1).
Sequence in context: A091319 A003584 A069271 this_sequence A143508 A052882 A143922
Adjacent sequences: A006149 A006150 A006151 this_sequence A006153 A006154 A006155
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KEYWORD
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nonn,easy
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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More terms from Michael Somos, Jun 07 2000
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