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A123025
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Let b(0) = 1, b(1) = 1; b(n+2) = -(n^2-n+1)*(b(n))/((n+2)*(n+1)). Then a(n) = n!*b(n).
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0
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1, 1, -1, -5, 11, 95, -319, -3895, 17545, 276545, -1561505, -30143405, 204557155, 4672227775, -37024845055, -976495604975, 8848937968145, 264630308948225, -2698926080284225, -90238935351344725, 1022892984427721275, 37810113912213439775, -471553665821179507775
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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REFERENCES
| Richard Bronson, Schaum's Outline of Modern Introductory Differential Equations, MacGraw-Hill, New York,1973, page 107, solved problem 19.17
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MATHEMATICA
| a[n_] := a[n] = -(n^2 - n - 1)*a[n - 2]/(n*(n - 1)); a[0] = 1; a[1] = 1; Table[a[n]*n!, {n, 0, 30}]
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CROSSREFS
| Sequence in context: A188514 A120778 A042761 * A053778 A030079 A066596
Adjacent sequences: A123022 A123023 A123024 * A123026 A123027 A123028
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KEYWORD
| sign
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AUTHOR
| Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 24 2006
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jan 06 2009
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