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Search: id:A123024
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| A123024 |
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Simple Scaled differential equation recursion RF: a[n+2]=(a(n)+a(n-1))/((n+2)*(n+1)). |
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+0 1
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| 1, 1, 2, 2, 4, 8, 12, 28, 60, 112, 284, 652, 1404, 3776, 9228, 22028, 62092, 160448, 414540, 1216012, 3302604, 9092272, 27622844, 78446956, 227652828, 713772368, 2110379772, 6405093068, 20668461340, 63385346912, 200011067244
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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Richard Bronson,Schaum's Ouline of Modern Introductory Differential Equations, MacGraw-Hill, New York,1973, page 107, solved problem 19.15
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FORMULA
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a(n) = (a(n-2)+a(n-3)/(n*(n - 1)) output= a(n)*n!
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MATHEMATICA
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a[n_] := a[n] = (a[n - 2] + a[n - 3])/(n*(n - 1)); a[0] = 1; a[1] = 1; a[2] = 1; Table[a[n]*n!, {n, 0, 30}]
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CROSSREFS
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Sequence in context: A048114 A102456 A032067 this_sequence A079092 A039941 A104700
Adjacent sequences: A123021 A123022 A123023 this_sequence A123025 A123026 A123027
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 24 2006
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