A075530 a(n) is the largest m such that n+1, n+2, ..., n+m are all members of the set X(n) given in A075529.
1, 1, 2, 3, 6, 13, 22, 39, 62, 117, 180, 367, 594, 1073, 1888, 3567
Offset: 0
Examples
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.
Links
- E. Ben-Naim and P. L. Krapivsky, Growth and Structure of Stochastic Sequences, J. Phys. A (2002).
- E. Ben-Naim, Home page
Formula
Numbers so far suggest that a(n) = A003064(n) - n + 1, n>1. - Ralf Stephan, Mar 21 2004
Extensions
Entry revised by Sean A. Irvine, Feb 20 2025