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A075531 Number of gaps in the set of all possible values in a stochastic sequence. +0
1
0, 0, 1, 2, 3, 6, 10, 18, 28, 50, 79, 144, 249, 432, 756 (list; graph; listen)
OFFSET

1,4

LINKS

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)

EXAMPLE

x_1=2 hence a(1)=0 x_2=3,4 hence a(2)=0 x_3=4,5,6,8 hence a(3)=1

CROSSREFS

Sequence in context: A026779 A081028 A065441 this_sequence A066067 A121364 A102702

Adjacent sequences: A075528 A075529 A075530 this_sequence A075532 A075533 A075534

KEYWORD

nonn

AUTHOR

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

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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