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%I #39 Dec 24 2014 22:57:55
%S 1,2,3,4,9,15,25,35,39,45,51,85,91,95,115,119,133,161,175,329,427,581,
%T 679,973,1043,1141,1267,1337,1673,1897,1981,3443,3493,3563,5753,6941,
%U 9229,10417,11561,14963,15037,16181,17369,19657,23089,24277,30043,31207,33253,34793,35849,36949,45071
%N Records in A098550.
%C See the "Graph of first 300000 terms" in A098550.
%H Robert G. Wilson v, <a href="/A248647/b248647.txt">Table of n, a(n) for n = 1..121</a>
%t f[lst_List] := Block[{k = 4}, While[ GCD[ lst[[-2]], k] == 1 || GCD[ lst[[-1]], k] > 1 || MemberQ[lst, k], k++]; Append[lst, k]]; records[s_List] := Block[{k = 1, lmt = 1 + Length@ s, lst = {}, mx = 0}, While[k < lmt, If[ s[[k]] > mx, mx = s[[k]]; AppendTo[lst, mx]]; k++]; lst]; s = Nest[f, {1, 2, 3}, 1000]; records[s]
%Y Cf. A098550.
%K nonn
%O 1,2
%A _Robert G. Wilson v_, Dec 02 2014