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Records in A132199.
3

%I #19 Aug 20 2017 10:56:19

%S 1,5,11,23,47,101,233,467,941,1889,3779,7559,15131,30323,60647,121403,

%T 242807,486041,972533,1945649,3891467,7783541,15567089,31139561,

%U 62279171,124559609,249120239,498270791,996541661,1993083437,3986167223,7972334723,15944673761

%N Records in A132199.

%C Except for a(1)=1, log(a(n)) is nearly but not exactly linear. - _Ralf Steiner_, Aug 18 2017

%H Ralf Steiner, <a href="/A191304/b191304.txt">Table of n, a(n) for n = 1..171</a>

%F For all a(n) except a(1)=1 is 5 congruent mod 6, a(n+1) > 2 a(n) and lim_{n->inf} a(n+1)/a(n) = 2. - _Ralf Steiner_, Aug 18 2017

%t Union@ FoldList[Max, Rest@ # - Most@ #] &@ FoldList[#1 + GCD[#2, #1] &, 7, Range[2, 10^7]] (* _Michael De Vlieger_, Aug 19 2017, after _Robert G. Wilson v_ at A132199 *)

%Y Cf. A106108, A132199, A137613.

%K nonn

%O 1,2

%A _Robert G. Wilson v_, Apr 30 2009

%E a(23)-a(33) from _Ralf Steiner_, Aug 18 2017