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A075530 Number of consecutive integers in the set of all possible values in a stochastic sequence. 1
1, 2, 3, 6, 13, 22, 39, 62, 117, 180, 367, 594, 1073, 1888, 3567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

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

EXAMPLE

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

CROSSREFS

Sequence in context: A244790 A111503 A239326 * A032061 A155996 A240104

Adjacent sequences:  A075527 A075528 A075529 * A075531 A075532 A075533

KEYWORD

nonn

AUTHOR

Eli Ben-Naim (ebn(AT)lanl.gov), Sep 19 2002

STATUS

approved

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Last modified September 22 21:38 EDT 2020. Contains 337291 sequences. (Running on oeis4.)