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Search: id:A075530
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| A075530 |
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Number of consecutive integers in the set of all possible values in a stochastic sequence. |
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+0
2
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| 1, 2, 3, 6, 13, 22, 39, 62, 117, 180, 367, 594, 1073, 1888, 3567
(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)
Numbers so far suggest that a(n) = A003064(n) - n + 1, n>1. - R. Stephan, Mar 21 2004
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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)=3
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CROSSREFS
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Sequence in context: A102970 A054049 A111503 this_sequence A032061 A018274 A018775
Adjacent sequences: A075527 A075528 A075529 this_sequence A075531 A075532 A075533
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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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