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A001689
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5th forward differences of factorial numbers A000142.
(Formerly M4531 N1920)
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7
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44, 309, 2428, 21234, 205056, 2170680, 25022880, 312273360, 4196666880, 60451816320, 929459059200, 15196285843200, 263309095526400, 4820517384883200, 92987329455820800, 1885246675183872000, 40080616912207872000, 891690242177839104000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| 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).
A. van Heemert, Cyclic permutations with sequences and related problems, J. Reine Angew. Math., 198 (1957), 56-72.
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LINKS
| Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Index entries for sequences related to factorial numbers
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FORMULA
| a(n) = (n^5 + 10n^4 + 45n^3 + 100n^2 + 109n + 44)*n! - Mitch Harris (maharri(AT)gmail.com), Jul 10 2008
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CROSSREFS
| Sequence in context: A060836 A135182 A094794 * A199828 A183633 A200450
Adjacent sequences: A001686 A001687 A001688 * A001690 A001691 A001692
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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