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Search: id:A001688
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| A001688 |
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4th differences of factorial numbers.
(Formerly M4636 N1980)
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+0
8
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| 1, 9, 53, 362, 2790, 24024, 229080, 2399760, 27422640, 339696000, 4536362880, 64988179200, 994447238400, 16190733081600, 279499828608000, 5100017213491200, 98087346669312000, 1983334021853184000, 42063950934061056000, 933754193111900160000
(list; graph; listen)
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OFFSET
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-1,2
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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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For n>=0 a(n)=n!*(n^4 + 6*n^3 + 17*n^2 + 20*n + 9) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 10 2004
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PROGRAM
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(PARI) a(n)=if(n<0, 1, n!*(n^4 + 6*n^3 + 17*n^2 + 20*n + 9))
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CROSSREFS
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Sequence in context: A005025 A038761 A003698 this_sequence A144040 A052108 A093846
Adjacent sequences: A001685 A001686 A001687 this_sequence A001689 A001690 A001691
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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