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A123024 Simple Scaled differential equation recursion RF: a[n+2]=(a(n)+a(n-1))/((n+2)*(n+1)). +0
1
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)
OFFSET

1,3

REFERENCES

Richard Bronson,Schaum's Ouline of Modern Introductory Differential Equations, MacGraw-Hill, New York,1973, page 107, solved problem 19.15

FORMULA

a(n) = (a(n-2)+a(n-3)/(n*(n - 1)) output= a(n)*n!

MATHEMATICA

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}]

CROSSREFS

Sequence in context: A048114 A102456 A032067 this_sequence A079092 A039941 A104700

Adjacent sequences: A123021 A123022 A123023 this_sequence A123025 A123026 A123027

KEYWORD

nonn,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 24 2006

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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