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A002633
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Related to discordant permutations.
(Formerly M2384 N0946)
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0
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1, -3, 5, -3, 9, -3, -51, -675, -5871, -46467, -331371, -1852227, -920295, 224455293, 5571057501, 104877816093, 1781775072801, 28519837563645, 431525731169061, 5994769814117757, 68879336771960361
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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).
K. Yamamoto, Structure polynomial of Latin rectangles and its application to a combinatorial problem, Memoirs of the Faculty of Science, Kyusyu University, Series A, 10 (1956), 1-13.
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FORMULA
| a(n)-(2n-5)a(n-1)+(n-1)(n-4)a(n-2)+(n-1)(n-2)a(n-3)=0.
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MATHEMATICA
| a[ n_ ] := a[ n ]=(2n-5)a[ n-1 ]-(n-1)(n-4)a[ n-2 ]-(n-1)(n-2)a[ n-3 ]; a[ 0 ]=1; a[ 1 ]=-3; a[ 2 ]=5; Table[ s[ n ], {n, 0, 24} ]
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CROSSREFS
| Sequence in context: A198827 A199668 A186203 * A070554 A076842 A077862
Adjacent sequences: A002630 A002631 A002632 * A002634 A002635 A002636
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KEYWORD
| sign,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from wouter.meeussen(AT)pandora.be
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