login
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
OFFSET
1,2
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)
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 A350435 A155996
KEYWORD
nonn
AUTHOR
Eli Ben-Naim (ebn(AT)lanl.gov), Sep 19 2002
STATUS
approved