A075529 Number of possible values in a stochastic sequence.

1, 2, 4, 8, 16, 30, 55, 98, 175, 310, 555, 986, 1757, 3138, 5618

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)

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)=4

Crossrefs

Sequence in context: A271480 A226454 A347775 * A005305 A298402 A125548

Adjacent sequences: A075526 A075527 A075528 * A075530 A075531 A075532

Keyword

nonn

Author

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

Status

approved