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A001341
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E.g.f.: 6*exp(x)/(1-x)^4;
(Formerly M4205 N1755)
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1
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6, 30, 174, 1158, 8742, 74046, 696750, 7219974, 81762438, 1005151902, 13336264686, 189992451270, 2893180308774, 46904155833918, 806663460996462, 14669947577257926, 281298999630211590, 5672559830998316574, 120014233288249367598, 2658221288671765756422
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| Biondi, E.; Divieti, L.; Guardabassi, G.; Counting paths, circuits, chains and cycles in graphs: A unified approach. Canad. J. Math. 22 1970 22-35.
Philip Feinsilver and John McSorley, Zeons, Permanents, the Johnson Scheme, and Generalized Derangements, International Journal of Combinatorics, Volume 2011, Article ID 539030, 29 pages; doi:10.1155/2011/539030.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| a(n) = ceil( n!*(n^3+3*n^2+5*n+2)*exp(1) ) [From Mark van Hoeij (hoeij(AT)math.fsu.edu), Nov 11 2009]
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CROSSREFS
| Sequence in context: A135490 A175925 A110706 * A089896 A057754 A001473
Adjacent sequences: A001338 A001339 A001340 * A001342 A001343 A001344
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com) and Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
| Error in definition corrected Jan 30 2008
More terms from N. J. A. Sloane (njas(AT)research.att.com), Jan 30 2008
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