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Search: id:A001689
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| A001689 |
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5th differences of factorial numbers.
(Formerly M4531 N1920)
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+0
7
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| 8, 44, 309, 2428, 21234, 205056, 2170680, 25022880, 312273360, 4196666880, 60451816320, 929459059200, 15196285843200, 263309095526400, 4820517384883200, 92987329455820800, 1885246675183872000, 40080616912207872000, 891690242177839104000
(list; graph; listen)
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OFFSET
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-1,1
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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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (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
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Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Index entries for sequences related to factorial numbers
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FORMULA
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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
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Sequence in context: A155604 A126476 A112908 this_sequence A028565 A129553 A075863
Adjacent sequences: A001686 A001687 A001688 this_sequence A001690 A001691 A001692
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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