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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.

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%I A075530 #8 Feb 20 2025 22:00:51
%S A075530 1,1,2,3,6,13,22,39,62,117,180,367,594,1073,1888,3567
%N 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.
%H A075530 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 A075530 E. Ben-Naim, <a href="http://cnls-www.lanl.gov/People/ebn/pubs/reccur/reccur.html">Home page</a>
%F A075530 Numbers so far suggest that a(n) = A003064(n) - n + 1, n>1. - _Ralf Stephan_, Mar 21 2004
%e A075530 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 A075530 nonn,more
%O A075530 0,3
%A A075530 Eli Ben-Naim (ebn(AT)lanl.gov), Sep 19 2002
%E A075530 Entry revised by _Sean A. Irvine_, Feb 20 2025