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A006152 Exponential generating function x*exp(x/(1-x)).
(Formerly M1939)
2
1, 2, 9, 52, 365, 3006, 28357, 301064, 3549177, 45965530, 648352001, 9888877692, 162112109029, 2841669616982, 53025262866045, 1049180850990736, 21937381717388657, 483239096122434354, 11184035897992673017 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

Getu, S.; Shapiro, L. W.; Combinatorial view of the composition of functions. Ars Combin. 10 (1980), 131-145.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 156

PROG

(PARI) a(n)=n!*polcoeff(x*exp(x/(1-x)+O(x^n)), n)

CROSSREFS

A006152(n)=n*A000262(n-1).

Sequence in context: A193465 A003584 A069271 * A143508 A052882 A143922

Adjacent sequences:  A006149 A006150 A006151 * A006153 A006154 A006155

KEYWORD

nonn,easy,changed

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

EXTENSIONS

More terms from Michael Somos, Jun 07 2000

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Last modified February 16 08:05 EST 2012. Contains 205884 sequences.