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Search: id:A075529
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| A075529 |
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Number of possible values in a stochastic sequence. |
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+0
1
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| 1, 2, 4, 8, 16, 30, 55, 98, 175, 310, 555, 986, 1757, 3138, 5618
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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E. Ben-Naim and P. L. Krapivsky, Growth and Structure of Stochastic Sequences, J. Phys. A (2002).
E. Ben-Naim, Home page
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FORMULA
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Stochastic sequence recursive (Fibonacci-like) rule: x_n=x_{n-1}+x_p with randomly chosen p=0, ..., n-1 (x_0=1)
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EXAMPLE
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x_1=2 hence a(1)=1 x_2=3,4 hence a(2)=2 x_3=4,5,6,8 hence a(3)=4
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CROSSREFS
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Sequence in context: A018469 A098904 A046127 this_sequence A005305 A125548 A164229
Adjacent sequences: A075526 A075527 A075528 this_sequence A075530 A075531 A075532
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KEYWORD
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nonn
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AUTHOR
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Eli Ben-Naim (ebn(AT)lanl.gov), Sep 19 2002
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