A075531 Number of gaps in the set of all possible values in a stochastic sequence.

0, 0, 1, 2, 3, 6, 10, 18, 28, 50, 79, 144, 249, 432, 756

Offset

1,4

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)

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: A325232 A208479 A065441 * A066067 A121364 A347787

Adjacent sequences: A075528 A075529 A075530 * A075532 A075533 A075534

Keyword

nonn

Author

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

Status

approved