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A001342 E.g.f.: 24*exp(x)/(1-x)^5.
(Formerly M5147 N2233)
+0
2
24, 144, 984, 7584, 65304, 622704, 6523224, 74542464, 923389464, 12331112784, 176656186584, 2703187857504, 44010975525144, 759759305162544, 13863284116261464, 266629052052953664, 5391260831368104984, 114341673457251051024, 2538207055383516388824, 58858819206973874413344 (list; graph; listen)
OFFSET

0,1

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

Biondi, E.; Divieti, L.; Guardabassi, G.; Counting paths, circuits, chains and cycles in graphs: A unified approach. Canad. J. Math. 22 1970 22-35.

FORMULA

a(n) = floor( n! * (n^4+6*n^3+17*n^2+20*n+9) * exp(1) ) [From Mark van Hoeij (hoeij(AT)math.fsu.edu), Nov 11 2009]

CROSSREFS

Sequence in context: A007900 A059593 A054118 this_sequence A029572 A129923 A064138

Adjacent sequences: A001339 A001340 A001341 this_sequence A001343 A001344 A001345

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and Simon Plouffe (simon.plouffe(AT)gmail.com)

EXTENSIONS

Error in description corrected Jan 30 2008

More terms from N. J. A. Sloane (njas(AT)research.att.com), Jan 30 2008

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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