A075530 - OEIS

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.

%I #8 Feb 20 2025 22:00:51

%S 1,1,2,3,6,13,22,39,62,117,180,367,594,1073,1888,3567

%N 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.

%H E. Ben-Naim and P. L. Krapivsky, <a href="http://arXiv.org/abs/cond-mat/0208072">Growth and Structure of Stochastic Sequences</a>, J. Phys. A (2002).

%H E. Ben-Naim, <a href="http://cnls-www.lanl.gov/People/ebn/pubs/reccur/reccur.html">Home page</a>

%F Numbers so far suggest that a(n) = A003064(n) - n + 1, n>1. - _Ralf Stephan_, Mar 21 2004

%e 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.

%K nonn,more

%O 0,3

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

%E Entry revised by _Sean A. Irvine_, Feb 20 2025