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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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1
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1, 2, 3, 6, 13, 22, 39, 62, 117, 180, 367, 594, 1073, 1888, 3567
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..15.
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. - Ralf 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: A054049 A175281 A111503 * A032061 A155996 A018274
Adjacent sequences: A075527 A075528 A075529 * A075531 A075532 A075533
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KEYWORD
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nonn,changed
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AUTHOR
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Eli Ben-Naim (ebn(AT)lanl.gov), Sep 19 2002
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STATUS
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approved
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